Recent articles published in 'ESAIM: Control, Optimisation and Calculus of Variations'

Recent articles published in 'ESAIM: Control, Optimisation and Calculus of Variations' https://www.esaim-cocv.org Recent articles published in 'ESAIM: Control, Optimisation and Calculus of Variations' daily 1 2026-04-20T22:50:40Z EDP Sciences Copyright (c) EDP Sciences 2026 Copyright (c) EDP Sciences 2026 1292-8119 ESAIM: Control, Optimisation and Calculus of Variations Stabilization of control systems associated with a strongly continuous group https://www.esaim-cocv.org/10.1051/cocv/2024093 Authors: Hoai-Minh Nguyen. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 1 Published online: 21/01/2026 Keywords: Stabilization ; rapid stabilization ; feedback ; dynamic feedback ; Lyapunov function ; Riccati equation.93B52 ; 93D15 ; 93D05 ; 49J20. Stabilization of control systems associated with a strongly continuous group Hoai-Minh Nguyen Stabilization rapid stabilization feedback dynamic feedback Lyapunov function Riccati equation 93B52 93D15 93D05 49J20 2026-01-21 text/html 10.1051/cocv/2024093 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-01-21 ESAIM: Control, Optimisation and Calculus of Variations 1 32 An anisotropic Poincaré inequality in GSBVp and the limit of strongly anisotropic Mumford–Shah functionals https://www.esaim-cocv.org/10.1051/cocv/2025001 Authors: Janusz Ginster and Peter Gladbach. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 23 Published online: 18/03/2026 Keywords: Functional inequalities ; Sobolev spaces ; functions of bounded variation ; anisotropic Mumford–Shah.26D10 ; 49J45. An anisotropic Poincaré inequality in GSBVp and the limit of strongly anisotropic Mumford–Shah functionals Janusz Ginster Peter Gladbach Functional inequalities Sobolev spaces functions of bounded variation anisotropic Mumford–Shah 26D10 49J45 2026-03-18 text/html 10.1051/cocv/2025001 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-18 ESAIM: Control, Optimisation and Calculus of Variations 23 32 Differentially observable systems and normal form https://www.esaim-cocv.org/10.1051/cocv/2025055 Authors: Hassan Hammouri. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 31 Published online: 13/04/2026 Keywords: onlinear systems ; observability ; singularities.37C05 ; 93C15. Differentially observable systems and normal form Hassan Hammouri onlinear systems observability singularities 37C05 93C15 2026-04-13 text/html 10.1051/cocv/2025055 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-13 ESAIM: Control, Optimisation and Calculus of Variations 31 32 Monge solutions of time-dependent Hamilton–Jacobi equations in metric spaces https://www.esaim-cocv.org/10.1051/cocv/2025087 Authors: Qing Liu and Made Benny Prasetya Wiranata. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 2 Published online: 23/01/2026 Keywords: Hamilton–Jacobi equations ; time-dependent eikonal equation ; metric spaces ; viscosity solutions ; Monge solutions.35R15 ; 49L25 ; 35F30 ; 35D40. Monge solutions of time-dependent Hamilton–Jacobi equations in metric spaces Qing Liu Made Benny Prasetya Wiranata Hamilton–Jacobi equations time-dependent eikonal equation metric spaces viscosity solutions Monge solutions 35R15 49L25 35F30 35D40 2026-01-23 text/html 10.1051/cocv/2025087 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-01-23 ESAIM: Control, Optimisation and Calculus of Variations 2 32 Global null controllability of stochastic semilinear complex Ginzburg–Landau equations https://www.esaim-cocv.org/10.1051/cocv/2025089 Authors: Sen Zhang, Hang Gao and Ganghua Yuan. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 4 Published online: 21/01/2026 Keywords: Null controllability ; stochastic semilinear Ginzburg–Landau equations ; Carleman estimate.35Q56 ; 93B05 ; 60H15. Global null controllability of stochastic semilinear complex Ginzburg–Landau equations Sen Zhang Hang Gao Ganghua Yuan Null controllability stochastic semilinear Ginzburg–Landau equations Carleman estimate 35Q56 93B05 60H15 2026-01-21 text/html 10.1051/cocv/2025089 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-01-21 ESAIM: Control, Optimisation and Calculus of Variations 4 32 Advanced control strategies for stochastic systems using PDF optimisation https://www.esaim-cocv.org/10.1051/cocv/2025091 Authors: Randa Herzallah. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 9 Published online: 11/02/2026 Keywords: Stochastic control ; probability density function ; Kullback–Leibler divergence ; Fokker–Planck equation ; Hamilton–Jacobi–Bellman equation.93E20 ; 49L20 ; 35Q84 ; 60H10. Advanced control strategies for stochastic systems using PDF optimisation Randa Herzallah Stochastic control probability density function Kullback–Leibler divergence Fokker–Planck equation Hamilton–Jacobi–Bellman equation 93E20 49L20 35Q84 60H10 2026-02-11 text/html 10.1051/cocv/2025091 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-11 ESAIM: Control, Optimisation and Calculus of Variations 9 32 Mean-field control of non exchangeable systems https://www.esaim-cocv.org/10.1051/cocv/2025090 Authors: Anna De Crescenzo, Marco Fuhrman, Idris Kharroubi and Huyên Pham. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 3 Published online: 21/01/2026 Keywords: Heterogeneous interaction ; graphons ; continuum of players ; mean-field control ; Wasserstein space ; Bellman equation ; viscosity solutions.60H30 ; 05C80 ; 60K35 ; 93E20. Mean-field control of non exchangeable systems Anna De Crescenzo Marco Fuhrman Idris Kharroubi Huyên Pham Heterogeneous interaction graphons continuum of players mean-field control Wasserstein space Bellman equation viscosity solutions 60H30 05C80 60K35 93E20 2026-01-21 text/html 10.1051/cocv/2025090 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-01-21 ESAIM: Control, Optimisation and Calculus of Variations 3 32 Dynamic programming principle and Hamilton–Jacobi–Bellman equation for optimal control problems with uncertainty https://www.esaim-cocv.org/10.1051/cocv/2025092 Authors: Maria Soledad Aronna, Michele Palladino and Oscar Sierra. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 5 Published online: 21/01/2026 Keywords: Optimal control ; Hamilton–Jacobi–Bellman equation ; dynamic programming principle ; invariance principles ; Riemann–Stieltjes optimal control problems ; uncertain dynamics.35F21 ; 49K45 ; 49K27 ; 49L25. Dynamic programming principle and Hamilton–Jacobi–Bellman equation for optimal control problems with uncertainty Maria Soledad Aronna Michele Palladino Oscar Sierra Optimal control Hamilton–Jacobi–Bellman equation dynamic programming principle invariance principles Riemann–Stieltjes optimal control problems uncertain dynamics 35F21 49K45 49K27 49L25 2026-01-21 text/html 10.1051/cocv/2025092 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-01-21 ESAIM: Control, Optimisation and Calculus of Variations 5 32 Time dependent first-order Mean Field Games with Neumann boundary conditions https://www.esaim-cocv.org/10.1051/cocv/2025094 Authors: Diogo A. Gomes and Michele Ricciardi. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 20 Published online: 18/03/2026 Keywords: Mean Field Games ; Neumann conditions.35J47 ; 35A01. Time dependent first-order Mean Field Games with Neumann boundary conditions Diogo A. Gomes Michele Ricciardi Mean Field Games Neumann conditions 35J47 35A01 2026-03-18 text/html 10.1051/cocv/2025094 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-18 ESAIM: Control, Optimisation and Calculus of Variations 20 32 Curves of minimax spirality https://www.esaim-cocv.org/10.1051/cocv/2025095 Authors: C. Yalçin Kaya, Lyle Noakes and Philip Schrader. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 6 Published online: 03/02/2026 Keywords: Minimax spirality ; minimax curvature ; optimal control ; bang–bang control ; singular control ; Euler spirals.49J15 ; 49K15 ; 65K10 ; 90C30. Curves of minimax spirality C. Yalçin Kaya Lyle Noakes Philip Schrader Minimax spirality minimax curvature optimal control bang–bang control singular control Euler spirals 49J15 49K15 65K10 90C30 2026-02-03 text/html 10.1051/cocv/2025095 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-03 ESAIM: Control, Optimisation and Calculus of Variations 6 32 On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem https://www.esaim-cocv.org/10.1051/cocv/2025093 Authors: Fabien Caubet, Marc Dambrine and Jérémi Dardé. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 7 Published online: 09/02/2026 Keywords: Inverse obstacle problem ; Tikhonov regularization ; perimeter penalization ; stability result ; shape optimization.35R30 ; 35B35 ; 49Q10. On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem Fabien Caubet Marc Dambrine Jérémi Dardé Inverse obstacle problem Tikhonov regularization perimeter penalization stability result shape optimization 35R30 35B35 49Q10 2026-02-09 text/html 10.1051/cocv/2025093 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-09 ESAIM: Control, Optimisation and Calculus of Variations 7 32 Second-order optimality conditions for the sparse optimal control of nonviscous Cahn–Hilliard systems https://www.esaim-cocv.org/10.1051/cocv/2025096 Authors: Pierluigi Colli and Jürgen Sprekels. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 8 Published online: 09/02/2026 Keywords: Cahn–Hilliard equation ; optimal control ; sparsity ; first- and second-order optimality conditions.35K52 ; 49K20 ; 49N90 ; 93C20. Second-order optimality conditions for the sparse optimal control of nonviscous Cahn–Hilliard systems Pierluigi Colli Jürgen Sprekels Cahn–Hilliard equation optimal control sparsity first- and second-order optimality conditions 35K52 49K20 49N90 93C20 2026-02-09 text/html 10.1051/cocv/2025096 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-09 ESAIM: Control, Optimisation and Calculus of Variations 8 32 Wasserstein gradient flows of MMD functionals with distance kernel and Cauchy problems on quantile functions https://www.esaim-cocv.org/10.1051/cocv/2025097 Authors: Richard Duong, Viktor Stein, Robert Beinert, Johannes Hertrich and Gabriele Steidl. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 10 Published online: 11/02/2026 Keywords: Wasserstein gradient flows ; maximum mean discrepancy ; distance kernel ; Cauchy problems ; quantile flows.49Q22 ; 46N10 ; 35B99. Wasserstein gradient flows of MMD functionals with distance kernel and Cauchy problems on quantile functions Richard Duong Viktor Stein Robert Beinert Johannes Hertrich Gabriele Steidl Wasserstein gradient flows maximum mean discrepancy distance kernel Cauchy problems quantile flows 49Q22 46N10 35B99 2026-02-11 text/html 10.1051/cocv/2025097 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-11 ESAIM: Control, Optimisation and Calculus of Variations 10 32 On existence and concentration of solutions for fractional logarithmic Schrödinger equation with steep potential well https://www.esaim-cocv.org/10.1051/cocv/2025098 Authors: Baihong Li, Dimitri Mugnai, Yuanlin Sun and Yuanhong Wei. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 17 Published online: 10/03/2026 Keywords: Fractional Schrödinger equation ; logarithmic nonlinearity ; steep potential well ; least energy solution ; concentration phenomenon.35A01 ; 35A15 ; 35R11. On existence and concentration of solutions for fractional logarithmic Schrödinger equation with steep potential well Baihong Li Dimitri Mugnai Yuanlin Sun Yuanhong Wei Fractional Schrödinger equation logarithmic nonlinearity steep potential well least energy solution concentration phenomenon 35A01 35A15 35R11 2026-03-10 text/html 10.1051/cocv/2025098 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-10 ESAIM: Control, Optimisation and Calculus of Variations 17 32 Trivialisable control-affine systems revisited https://www.esaim-cocv.org/10.1051/cocv/2025099 Authors: Timothée Schmoderer and Witold Respondek. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 13 Published online: 25/02/2026 Keywords: Control-affine system ; feedback equivalence ; trivial control systems ; control curvature ; normal forms ; infinitesimal symmetries.93A10 ; 93B52 ; 93B10 ; 93B27 ; 37N35 ; 37C79. Trivialisable control-affine systems revisited Timothée Schmoderer Witold Respondek Control-affine system feedback equivalence trivial control systems control curvature normal forms infinitesimal symmetries 93A10 93B52 93B10 93B27 37N35 37C79 2026-02-25 text/html 10.1051/cocv/2025099 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-25 ESAIM: Control, Optimisation and Calculus of Variations 13 32 Spatial exponential decay of perturbations in optimal control of general evolution equations https://www.esaim-cocv.org/10.1051/cocv/2025100 Authors: Simone Göttlich, Benedikt Oppeneiger, Manuel Schaller and Karl Worthmann. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 11 Published online: 11/02/2026 Keywords: Sensitivity analysis ; exponential localization ; optimal control of partial differential equations.35Q93 ; 49K40 ; 93D23. Spatial exponential decay of perturbations in optimal control of general evolution equations Simone Göttlich Benedikt Oppeneiger Manuel Schaller Karl Worthmann Sensitivity analysis exponential localization optimal control of partial differential equations 35Q93 49K40 93D23 2026-02-11 text/html 10.1051/cocv/2025100 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-11 ESAIM: Control, Optimisation and Calculus of Variations 11 32 Energy release and Griffith’s criterion for phase-field fracture https://www.esaim-cocv.org/10.1051/cocv/2025101 Authors: E. Maggiorelli and M. Negri. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 12 Published online: 11/02/2026 Keywords: Griffith criterion ; maximal energy release rate ; phase-field fracture.49S05 ; 74A45. Energy release and Griffith’s criterion for phase-field fracture E. Maggiorelli M. Negri Griffith criterion maximal energy release rate phase-field fracture 49S05 74A45 2026-02-11 text/html 10.1051/cocv/2025101 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-11 ESAIM: Control, Optimisation and Calculus of Variations 12 32 Turnpike property of nonzero-sum linear-quadratic differential games https://www.esaim-cocv.org/10.1051/cocv/2025102 Authors: Jingrui Sun, Huojun Wu and Lvning Yuan. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 16 Published online: 27/02/2026 Keywords: Turnpike property ; nonzero-sum differential games ; linear-quadratic ; Riccati equation ; static optimization.49N10 ; 49N70 ; 91A05 ; 91A23. Turnpike property of nonzero-sum linear-quadratic differential games Jingrui Sun Huojun Wu Lvning Yuan Turnpike property nonzero-sum differential games linear-quadratic Riccati equation static optimization 49N10 49N70 91A05 91A23 2026-02-27 text/html 10.1051/cocv/2025102 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-27 ESAIM: Control, Optimisation and Calculus of Variations 16 32 A hybrid physics-informed neural network based multiscale solver as a partial differential equation constrained optimization problem https://www.esaim-cocv.org/10.1051/cocv/2026002 Authors: Michael Hintermüller and Denis Korolev. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 18 Published online: 10/03/2026 Keywords: Learning-informed optimal control ; PDE constrained optimization ; physics-informed neural networks ; quasi-minimization ; weak convergence ; multi-fidelity.35B27 ; 68Q32 ; 68T05 ; 65K10. A hybrid physics-informed neural network based multiscale solver as a partial differential equation constrained optimization problem Michael Hintermüller Denis Korolev Learning-informed optimal control PDE constrained optimization physics-informed neural networks quasi-minimization weak convergence multi-fidelity 35B27 68Q32 68T05 65K10 2026-03-10 text/html 10.1051/cocv/2026002 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-10 ESAIM: Control, Optimisation and Calculus of Variations 18 32 A large multi-agent system with noise both in position and control https://www.esaim-cocv.org/10.1051/cocv/2026003 Authors: Giuseppe D’Onofrio and Anderson Melchor Hernandez. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 14 Published online: 25/02/2026 Keywords: Mean-field limit ; Wasserstein distance ; well-posedness of stochastic differential equations ; Eulerian and Lagrangian solutions ; neuronal modeling ; random synaptic weights.60B10 ; 60H10 ; 93E03 ; 49N80 ; 60J70. A large multi-agent system with noise both in position and control Giuseppe D’Onofrio Anderson Melchor Hernandez Mean-field limit Wasserstein distance well-posedness of stochastic differential equations Eulerian and Lagrangian solutions neuronal modeling random synaptic weights 60B10 60H10 93E03 49N80 60J70 2026-02-25 text/html 10.1051/cocv/2026003 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-25 ESAIM: Control, Optimisation and Calculus of Variations 14 32 A general maximum principle for partially observed stochastic evolution control systems https://www.esaim-cocv.org/10.1051/cocv/2026001 Authors: Zhen Wu and Zeshan Yang. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 15 Published online: 25/02/2026 Keywords: Maximum principle ; stochastic evolution equation ; partial observation ; transposition solution ; second order adjoint process.93E20 ; 60H25 ; 60G35. A general maximum principle for partially observed stochastic evolution control systems Zhen Wu Zeshan Yang Maximum principle stochastic evolution equation partial observation transposition solution second order adjoint process 93E20 60H25 60G35 2026-02-25 text/html 10.1051/cocv/2026001 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-02-25 ESAIM: Control, Optimisation and Calculus of Variations 15 32 A Wasserstein-type metric for generic mixture models, including location-scatter and group invariant measures https://www.esaim-cocv.org/10.1051/cocv/2026004 Authors: Geneviève Dusson, Virginie Ehrlacher and Nathalie Nouaime. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 19 Published online: 10/03/2026 Keywords: Optimal transport ; mixture ; Wasserstein distance ; Wasserstein barycenters.65D05 ; 65K10 ; 41A05 ; 41A63 ; 46G99 ; 46T12 ; 60B05 ; 47N50. A Wasserstein-type metric for generic mixture models, including location-scatter and group invariant measures Geneviève Dusson Virginie Ehrlacher Nathalie Nouaime Optimal transport mixture Wasserstein distance Wasserstein barycenters 65D05 65K10 41A05 41A63 46G99 46T12 60B05 47N50 2026-03-10 text/html 10.1051/cocv/2026004 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-10 ESAIM: Control, Optimisation and Calculus of Variations 19 32 Controlled stochastic processes for simulated annealing https://www.esaim-cocv.org/10.1051/cocv/2026005 Authors: Vincent Molin, Axel Ringh, Moritz Schauer and Akash Sharma. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 24 Published online: 31/03/2026 Keywords: Simulated annealing ; optimal transport ; interacting particle system ; global optimization ; stochastic differential equations ; piecewise deterministic Markov processes.90C26 ; 53B12 ; 35Q84 ; 49Q22 ; 65C35. Controlled stochastic processes for simulated annealing Vincent Molin Axel Ringh Moritz Schauer Akash Sharma Simulated annealing optimal transport interacting particle system global optimization stochastic differential equations piecewise deterministic Markov processes 90C26 53B12 35Q84 49Q22 65C35 2026-03-31 text/html 10.1051/cocv/2026005 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-31 ESAIM: Control, Optimisation and Calculus of Variations 24 32 Integral representations of the solutions to the homogenized transport equations https://www.esaim-cocv.org/10.1051/cocv/2026006 Authors: Marc Briane and Juan Casado-Díaz. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 26 Published online: 03/04/2026 Keywords: Transport equation ; homogenization ; ode’s flow ; integral representation.35Q49 ; 76M50 ; 37C10 ; 35C15. Integral representations of the solutions to the homogenized transport equations Marc Briane Juan Casado-Díaz Transport equation homogenization ode’s flow integral representation 35Q49 76M50 37C10 35C15 2026-04-03 text/html 10.1051/cocv/2026006 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-03 ESAIM: Control, Optimisation and Calculus of Variations 26 32 Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials https://www.esaim-cocv.org/10.1051/cocv/2026007 Authors: Hui Xu, Longben Wei and Zhiwen Duan. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 22 Published online: 18/03/2026 Keywords: Observability ; unique continuation ; controllability ; inverse-square potentials.93B07 ; 35B60 ; 93B05. Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials Hui Xu Longben Wei Zhiwen Duan Observability unique continuation controllability inverse-square potentials 93B07 35B60 93B05 2026-03-18 text/html 10.1051/cocv/2026007 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-18 ESAIM: Control, Optimisation and Calculus of Variations 22 32 Fractional infinity Laplacian with obstacle https://www.esaim-cocv.org/10.1051/cocv/2026010 Authors: Samer Dweik and Ahmad Sabra. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 29 Published online: 10/04/2026 Keywords: Fractional infinity Laplacian ; viscosity solutions ; nonlocal and nonlineaR equations ; obstacle problem.35D40 ; 35J60 ; 35J65. Fractional infinity Laplacian with obstacle Samer Dweik Ahmad Sabra Fractional infinity Laplacian viscosity solutions nonlocal and nonlineaR equations obstacle problem 35D40 35J60 35J65 2026-04-10 text/html 10.1051/cocv/2026010 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-10 ESAIM: Control, Optimisation and Calculus of Variations 29 32 Analysis of four-dimensional variational data assimilation problems in low regularity spaces https://www.esaim-cocv.org/10.1051/cocv/2026008 Authors: Paula Castro, Juan Carlos De los Reyes and Ira Neitzel. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 32 Published online: 13/04/2026 Keywords: ariational data assimilation ; maximal parabolic regularity ; optimal control.49K20 ; 49K27 ; 49N60 ; 35B65. Analysis of four-dimensional variational data assimilation problems in low regularity spaces Paula Castro Juan Carlos De los Reyes Ira Neitzel ariational data assimilation maximal parabolic regularity optimal control 49K20 49K27 49N60 35B65 2026-04-13 text/html 10.1051/cocv/2026008 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-13 ESAIM: Control, Optimisation and Calculus of Variations 32 32 On the equilibrium solutions of electro-energy–reaction–diffusion systems https://www.esaim-cocv.org/10.1051/cocv/2026009 Authors: Katharina Hopf, Michael Kniely and Alexander Mielke. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 25 Published online: 31/03/2026 Keywords: Reaction–diffusion systems ; temperature ; electrostatic potential ; critical points under convex constraints ; Legendre transform ; Lagrange multiplier ; direct method.35Q79 ; 49S05 ; 78A30 ; 49K20 ; 49J45. On the equilibrium solutions of electro-energy–reaction–diffusion systems Katharina Hopf Michael Kniely Alexander Mielke Reaction–diffusion systems temperature electrostatic potential critical points under convex constraints Legendre transform Lagrange multiplier direct method 35Q79 49S05 78A30 49K20 49J45 2026-03-31 text/html 10.1051/cocv/2026009 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-31 ESAIM: Control, Optimisation and Calculus of Variations 25 32 Existence of solutions and selection problem for quasi-stationary contact mean field games https://www.esaim-cocv.org/10.1051/cocv/2026013 Authors: Xiaotian Hu. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 21 Published online: 18/03/2026 Keywords: Contact mean field games ; quasi-stationary ; selection problem ; viscosity solution ; weak KAM theory.35Q89 ; 37J51 ; 49N80. Existence of solutions and selection problem for quasi-stationary contact mean field games Xiaotian Hu Contact mean field games quasi-stationary selection problem viscosity solution weak KAM theory 35Q89 37J51 49N80 2026-03-18 text/html 10.1051/cocv/2026013 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-03-18 ESAIM: Control, Optimisation and Calculus of Variations 21 32 A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting https://www.esaim-cocv.org/10.1051/cocv/2026012 Authors: Pablo López-Rivera. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 27 Published online: 10/04/2026 Keywords: Optimal transport ; entropic optimal transport ; Schrödinger bridge.49Q22 ; 35J96. A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting Pablo López-Rivera Optimal transport entropic optimal transport Schrödinger bridge 49Q22 35J96 2026-04-10 text/html 10.1051/cocv/2026012 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-10 ESAIM: Control, Optimisation and Calculus of Variations 27 32 Functions of bounded variation and Lipschitz algebras in metric measure spaces https://www.esaim-cocv.org/10.1051/cocv/2026014 Authors: Enrico Pasqualetto and Giacomo Enrico Sodini. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 28 Published online: 10/04/2026 Keywords: Functions of bounded variation ; Lipschitz algebras ; metric measure spaces ; derivations.53C23 ; 26A45 ; 49J52 ; 46E35 ; 46N10. Functions of bounded variation and Lipschitz algebras in metric measure spaces Enrico Pasqualetto Giacomo Enrico Sodini Functions of bounded variation Lipschitz algebras metric measure spaces derivations 53C23 26A45 49J52 46E35 46N10 2026-04-10 text/html 10.1051/cocv/2026014 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-10 ESAIM: Control, Optimisation and Calculus of Variations 28 32 Approximation of elliptic equations with interior single-point degeneracy and its application to weak unique continuation property https://www.esaim-cocv.org/10.1051/cocv/2026016 Authors: Weijia Wu, Yaozhong Hu, Donghui Yang and Jie Zhong. ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 , page 30 Published online: 10/04/2026 Keywords: Degenerate elliptic equations ; weak unique continuation property.35J70 ; 35B60. Approximation of elliptic equations with interior single-point degeneracy and its application to weak unique continuation property Weijia Wu Yaozhong Hu Donghui Yang Jie Zhong Degenerate elliptic equations weak unique continuation property 35J70 35B60 2026-04-10 text/html 10.1051/cocv/2026016 ESAIM: Control, Optimisation and Calculus of Variations Vol. 32 abstract cocv/2026/01 2026-04-10 ESAIM: Control, Optimisation and Calculus of Variations 30 32