ESAIM: Control, Optimisation and Calculus of Variations

Open Access

Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control 1

Paul Manns and Vanja Nikolić

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024075

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Analysis and approximation to parabolic optimal control problems with measure-valued controls in time 2

Wei Gong and Dongdong Liang

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024085

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Reduced theory of symmetric and antisymmetric exchange interactions in nanowires 3

Giovanni Di Fratta, Filipp N. Rybakov and Valeriy Slastikov

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024089

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Viability for locally monotone evolution inclusions and lower semicontinuous solutions of Hamilton–Jacobi–Bellman equations in infinite dimensions 4

Jichao Jiang and Christian Keller

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024086

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An upper bound for the first nonzero Steklov eigenvalue 5

Xiaolong Li, Kui Wang and Haotian Wu

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024088

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Approximation of optimal feedback controls for stochastic reaction-diffusion equations 6

Wilhelm Stannat and Alexander Vogler

Published online: 06 January 2025

DOI: https://doi.org/10.1051/cocv/2024080

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Conjugate points of dynamic pairs and control systems 7

B. Jakubczyk and W. Kryński

Published online: 24 January 2025

DOI: https://doi.org/10.1051/cocv/2024079

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ϵ-Nash equilibrium of anticipative large-population LQ game with partial observations 8

Jize Li and Yonghui Zhou

Published online: 31 January 2025

DOI: https://doi.org/10.1051/cocv/2024087

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Viability and control of a delayed SIR epidemic with an ICU state constraint 9

Dimitri Breda, Matteo Della Rossa and Lorenzo Freddi

Published online: 31 January 2025

DOI: https://doi.org/10.1051/cocv/2024083

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New minimax theorems for lower semicontinuous functions and applications 10

Claudianor O. Alves, Giovanni Molica Bisci and Ismael S. da Silva

Published online: 10 February 2025

DOI: https://doi.org/10.1051/cocv/2024005

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Output feedback stabilizability of periodic sampled-data control systems 11

Hanbing Liu, Lingying Ma and Ming Wang

Published online: 10 February 2025

DOI: https://doi.org/10.1051/cocv/2024092

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The twin blow-up method for Hamilton–Jacobi equations in higher dimension 12

Nicolas Forcadel, Cyril Imbert and Régis Monneau

Published online: 12 February 2025

DOI: https://doi.org/10.1051/cocv/2024090

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On homotopy properties of solutions of some differential inclusions in the W^1,P-topology 13

Erasmo Caponio, Antonio Masiello and Stefan Suhr

Published online: 12 February 2025

DOI: https://doi.org/10.1051/cocv/2024094

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A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage 14

Maicol Caponi and Vito Crismale

Published online: 14 February 2025

DOI: https://doi.org/10.1051/cocv/2025004

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Converse Lyapunov results for stability of switched systems with average dwell-time 15

Matteo Della Rossa and Aneel Tanwani

Published online: 18 February 2025

DOI: https://doi.org/10.1051/cocv/2025006

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Optimal control of third grade fluids with multiplicative noise 16

Yassine Tahraoui and Fernanda Cipriano

Published online: 18 February 2025

DOI: https://doi.org/10.1051/cocv/2025002

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Approximation of feedback gains for abstract parabolic systems 17

Mehdi Badra and Jean-Pierre Raymond

Published online: 17 March 2025

DOI: https://doi.org/10.1051/cocv/2024084

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Stationary Mean Field Games on networks with sticky transition conditions 18

Jules Berry and Fabio Camilli

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025007

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Optimal liquidation with conditions on minimum price 19

Mervan Aksu, Alexandre Popier and Ali Devin Sezer

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025009

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A blob method for mean field control with terminal constraints 20

Katy Craig, Karthik Elamvazhuthi and Harlin Lee

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025010

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A note on the failure of the Faber–Krahn inequality for the vector Laplacian 21

David Krejčiřík, Pier Domenico Lamberti and Michele Zaccaron

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025008

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Passivity theorems for input-to-state stability of forced Lur’e inclusions and equations, and consequent entrainment-type properties 22

Chris Guiver

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025013

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Controllability of second order discrete-time descriptor systems 23

Ha Phi and Do Duc Thuan

Published online: 20 March 2025

DOI: https://doi.org/10.1051/cocv/2025012

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Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials 24

Yunlei Wang

Published online: 24 March 2025

DOI: https://doi.org/10.1051/cocv/2024057

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The Neumann condition for the superposition of fractional Laplacians 25

Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli and Enrico Valdinoci

Published online: 24 March 2025

DOI: https://doi.org/10.1051/cocv/2025015

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Capacitary inradius and Poincaré-Sobolev inequalities 26

Francesco Bozzola and Lorenzo Brasco

Published online: 24 March 2025

DOI: https://doi.org/10.1051/cocv/2025016

• Abstract
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Perturbations in PDE-constrained optimal control decay exponentially in space 27

Simone Göttlich, Manuel Schaller and Karl Worthmann

Published online: 24 March 2025

DOI: https://doi.org/10.1051/cocv/2025014

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Mini-batch descent in semiflows 28

Alberto Domínguez Corella and Martín Hernández

Published online: 24 March 2025

DOI: https://doi.org/10.1051/cocv/2025018

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Semi-global stabilization of a nonlinear transport equation with nonlocal velocity 29

Sylvain Ervedoza, Zhiqiang Wang and Jiacheng Zhang

Published online: 31 March 2025

DOI: https://doi.org/10.1051/cocv/2025019

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Existence of optimal controls for stochastic Volterra equations 30

Andres Cardenas, Sergio Pulido and Rafael Serrano

Published online: 31 March 2025

DOI: https://doi.org/10.1051/cocv/2025020

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Local asymptotics and optimal control for a viscous Cahn–Hilliard–Reaction–Diffusion model for tumor growth 31

Elisa Davoli, Elisabetta Rocca, Luca Scarpa and Lara Trussardi

Published online: 31 March 2025

DOI: https://doi.org/10.1051/cocv/2025021

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Non-local phase transitions with singular anisotropic kernels 32

Wes Caldwell

Published online: 31 March 2025

DOI: https://doi.org/10.1051/cocv/2025017

• Abstract
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Mean field type control problems, some Hilbert-space-valued FBSDES, and related equations 33

Alain Bensoussan, Ho Man Tai and Sheung Chi Phillip Yam

Published online: 31 March 2025

DOI: https://doi.org/10.1051/cocv/2025022

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Mass concentration for Ergodic Choquard Mean-Field Games 34

Chiara Bernardini

Published online: 02 April 2025

DOI: https://doi.org/10.1051/cocv/2023083

• Abstract
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Linear–quadratic stochastic teams and zero-sum differential games for jump-diffusion systems with Markovian-switching coefficients under partial observations 35

Jun Moon

Published online: 02 April 2025

DOI: https://doi.org/10.1051/cocv/2025023

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Linear-quadratic optimal control for infinite-dimensional input-state-output systems 36

Timo Reis and Manuel Schaller

Published online: 04 April 2025

DOI: https://doi.org/10.1051/cocv/2025026

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A Pontryagin maximum principle for agent-based models with convex state space 37

Stefano Almi, Riccardo Durastanti and Francesco Solombrino

Published online: 08 April 2025

DOI: https://doi.org/10.1051/cocv/2025025

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Deterministic mean field games with jumps and mixed variational structure 38

Annette Dumas and Filippo Santambrogio

Published online: 08 April 2025

DOI: https://doi.org/10.1051/cocv/2025024

• Abstract
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Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity 39

Carlos Mora-Corral and David Mur-Callizo

Published online: 16 April 2025

DOI: https://doi.org/10.1051/cocv/2025028

• Abstract
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Flat sub-Lorentzian structures on Martinet distribution 40

Yu. L. Sachkov

Published online: 25 April 2025

DOI: https://doi.org/10.1051/cocv/2025005

• Abstract
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Linear-Convex partially observed optimal control problem with Markov chain and input constraint 41

Tian Chen, Zongyuan Huang and Zhen Wu

Published online: 14 May 2025

DOI: https://doi.org/10.1051/cocv/2025029

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Singular limit of BSDES and optimal control of two scale systems with jumps in infinite dimensional spaces 42

Elena Bandini, Giuseppina Guatteri and Gianmario Tessitore

Published online: 14 May 2025

DOI: https://doi.org/10.1051/cocv/2025030

• Abstract
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Uniform stability of the damped wave equation with a confining potential in the Euclidean space 43

Antoine Prouff

Published online: 14 May 2025

DOI: https://doi.org/10.1051/cocv/2025031

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Review

Small-time local controllability of the multi-input bilinear Schrödinger equation thanks to a quadratic term 44

Théo Gherdaoui

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2024091

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Adaptive output regulation for two coupled anti-stable strings with unknown exosystem 45

Bao-Zhu Guo, Qing-Qing Hu and Feng-Fei Jin

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2025027

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Change of regularity in controllability and observability of systems of wave equations 46

Thomas Perrin

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2025033

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A shape optimization problem for nematic and cholesteric liquid crystal drops 47

Alessandro Giacomini and Silvia Paparini

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2025032

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A converse robust-safety theorem for differential inclusions 48

Mohamed Maghenem and Masoumeh Ghanbarpour

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2025034

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Weak geodesics on prox-regular subsets of Riemannian manifolds 49

Juan Ferrera, Mohamad R. Pouryayevali and Hajar Radmanesh

Published online: 04 June 2025

DOI: https://doi.org/10.1051/cocv/2025036

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A look into some of the fine properties of functions with bounded 𝒜-variation 50

Adolfo Arroyo-Rabasa and Anna Skorobogatova

Published online: 24 June 2025

DOI: https://doi.org/10.1051/cocv/2025003

• Abstract
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Vector-valued integer optimal control with TV regularization: Optimality conditions and algorithmic treatment 51

Jonas Marko and Gerd Wachsmuth

Published online: 30 June 2025

DOI: https://doi.org/10.1051/cocv/2025037

• Abstract
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More insights into stability analysis of shear-damped laminates: The role of active boundary and lower-order passive distributed dampers under various boundary conditions 52

Mohammad Akil, Ahmet Özkan Özer, Virginie Régnier and Hussein Saleh

Published online: 24 June 2025

DOI: https://doi.org/10.1051/cocv/2025039

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Optimal stopping problems with constraints for continuous-time general Markov processes 53

Hector Jasso-Fuentes and Fidel Vasquez-Rojas

Published online: 24 June 2025

DOI: https://doi.org/10.1051/cocv/2025035

• Abstract
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Private inputs for leader-follower game with feedback Stackelberg strategy 54

Yue Sun, Hongdan Li, Huanshui Zhang and Xun Li

Published online: 24 June 2025

DOI: https://doi.org/10.1051/cocv/2025038

• Abstract
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Zero-sum games for Volterra integral equations and viscosity solutions of path-dependent Hamilton–Jacobi equations 55

Mikhail Igorevich Gomoyunov

Published online: 08 July 2025

DOI: https://doi.org/10.1051/cocv/2025040

• Abstract
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Well-posedness of fully coupled Mckean–Vlasov FBSDE and application to Stackelberg games 56

Yanbo Chen and Tianyang Nie

Published online: 08 July 2025

DOI: https://doi.org/10.1051/cocv/2025041

• Abstract
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Optimal strategies for Wolbachia mosquito replacement technique: influence of the carrying capacity on spatial releases 57

Luis Almeida, Jesús Bellver-Arnau, Gwenaël Peltier and Nicolas Vauchelet

Published online: 08 July 2025

DOI: https://doi.org/10.1051/cocv/2025044

• Abstract
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Surfactants in a non-local model for phase transitions 58

Marco Cicalese and Tim Heilmann

Published online: 16 July 2025

DOI: https://doi.org/10.1051/cocv/2025046

• Abstract
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Irregular linear-quadratic two-person nonzero-sum differential games 59

Yong Liang, Bing-Chang Wang, Juanjuan Xu and Huanshui Zhang

Published online: 18 July 2025

DOI: https://doi.org/10.1051/cocv/2025047

• Abstract
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Existence and uniqueness of domain walls for notched ferromagnetic nanowires 60

Raphaël Côte, Clémentine Courtès, Guillaume Ferrière, Ludovic Godard-Cadillac and Yannick Privat

Published online: 18 July 2025

DOI: https://doi.org/10.1051/cocv/2025051

• Abstract
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Stability of the Von Kármán regime for thin plates under Neumann boundary conditions 61

Edoardo Giovanni Tolotti

Published online: 18 July 2025

DOI: https://doi.org/10.1051/cocv/2025050

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Optimal control of the fidelity coefficient in a Cahn–Hilliard image inpainting model 62

Elena Beretta, Cecilia Cavaterra, Matteo Fornoni and Maurizio Grasselli

Published online: 18 July 2025

DOI: https://doi.org/10.1051/cocv/2025048

• Abstract
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Decay rate and eigenvalue asymptotics for magnetizable piezoelectric system with infinite memory 63

Hai-E Zhang, Gen-Qi Xu and Zhong-Jie Han

Published online: 28 July 2025

DOI: https://doi.org/10.1051/cocv/2025049

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On the well-posedness of a Hele–Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting 64

Julius Fergy Tiongson Rabago and Masato Kimura

Published online: 25 July 2025

DOI: https://doi.org/10.1051/cocv/2025052

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Stability in Inverse Problem for a Moore–Gibson–Thompson Equation with Time-Dependent Coefficient 65

Song-Ren Fu and Yongyi Yu

Published online: 30 July 2025

DOI: https://doi.org/10.1051/cocv/2025043

• Abstract
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Integro-Differential BV Prox-Regular Sweeping Process 66

Tahar Haddad, Sarra Gaouir and Lionel Thibault

Published online: 05 August 2025

DOI: https://doi.org/10.1051/cocv/2025054

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On the shape derivative of polygonal inclusions in the conductivity problem 67

Martin Hanke

Published online: 19 August 2025

DOI: https://doi.org/10.1051/cocv/2025053

• Abstract
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A spectral condition for the control of eigenfunctions of Baouendi–Grushin type operators 68

Mohammad Harakeh and Luc Hillairet

Published online: 19 August 2025

DOI: https://doi.org/10.1051/cocv/2025042

• Abstract
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Uniform-in-time mean-field limit estimate for the Consensus-Based Optimization 69

Hui Huang and Hicham Kouhkouh

Published online: 19 August 2025

DOI: https://doi.org/10.1051/cocv/2025056

• Abstract
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Constrained approximate optimal transport maps 70

Eloi Tanguy, Agnès Desolneux and Julie Delon

Published online: 19 August 2025

DOI: https://doi.org/10.1051/cocv/2025057

• Abstract
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Risk-averse optimal control of random elliptic variational inequalities 71

Amal Alphonse, Caroline Geiersbach, Michael Hintermüller and Thomas M. Surowiec

Published online: 29 August 2025

DOI: https://doi.org/10.1051/cocv/2025045

• Abstract
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Replicator dynamics as the large population limit of a discrete moran process in the weak selection regime: A proof via eulerian specification 72

Marco Morandotti and Gianluca Orlando

Published online: 29 August 2025

DOI: https://doi.org/10.1051/cocv/2025058

• Abstract
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The observability inequalities for heat equations with potentials 73

Jiuyi Zhu and Jinping Zhuge

Published online: 29 August 2025

DOI: https://doi.org/10.1051/cocv/2025059

• Abstract
• PDF (671.3 KB)
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Mean-field limits for Consensus-Based Optimization and Sampling 74

Nicolai Jurek Gerber, Franca Hoffmann and Urbain Vaes

Published online: 29 August 2025

DOI: https://doi.org/10.1051/cocv/2025060

• Abstract
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Numerical shape and topology optimization of regions supporting the boundary conditions of a physical problem 75

Eric Bonnetier, Carlos Brito-Pacheco, Charles Dapogny and Rafael Estevez

Published online: 29 August 2025

DOI: https://doi.org/10.1051/cocv/2025061

• Abstract
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Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation 76

Jan Giesselmann and Teresa Kunkel

Published online: 05 September 2025

DOI: https://doi.org/10.1051/cocv/2025062

• Abstract
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Approximate controllability and irreducibility of the 2D Zakharov–Kuznetsov–Burgers equation 77

Mo Chen

Published online: 22 September 2025

DOI: https://doi.org/10.1051/cocv/2025063

• Abstract
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Boundary effects on the controllability of coupled KDV systems 78

Fernando Gallego, Ademir Pazoto and Ivonne Rivas

Published online: 22 September 2025

DOI: https://doi.org/10.1051/cocv/2025064

• Abstract
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Event-triggered damping stabilization of Euler–Bernoulli beam equation 79

Xueru Fan, Cheng-Zhong Xu, Hua-Cheng Zhou, Weiwei Hu and Chunhai Kou

Published online: 26 September 2025

DOI: https://doi.org/10.1051/cocv/2025065

• Abstract
• PDF (1.601 MB)
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L^p-estimate for mean-field type FBSDEs 80

Mengru Wang, Bing Xie and Zhiyong Yu

Published online: 26 September 2025

DOI: https://doi.org/10.1051/cocv/2025066

• Abstract
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Stabilization to trajectories of nonisothermal Cahn–Hilliard equations 81

Behzad Azmi, Marvin Fritz and Sérgio S. Rodrigues

Published online: 26 September 2025

DOI: https://doi.org/10.1051/cocv/2025068

• Abstract
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Capacitary measures in fractional order Sobolev spaces: Compactness and applications to minimization problems 82

Anna Lentz

Published online: 26 September 2025

DOI: https://doi.org/10.1051/cocv/2025067

• Abstract
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Neighboring feasible trajectories and value functions for state constrained control problems 83

Giovanni Colombo, Franco Rampazzo and Denis K. Shishmintsev

Published online: 02 October 2025

DOI: https://doi.org/10.1051/cocv/2025069

• Abstract
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Social optima of linear forward-backward stochastic system 84

Guangchen Wang, Shujun Wang and Jie Xiong

Published online: 08 October 2025

DOI: https://doi.org/10.1051/cocv/2025072

• Abstract
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Solvability and optimal control of a multi-species Cahn–Hilliard–Keller–Segel tumor growth model 85

Pierluigi Colli, Gianni Gilardi, Andrea Signori and Jürgen Sprekels

Published online: 08 October 2025

DOI: https://doi.org/10.1051/cocv/2025070

• Abstract
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Global approximate controllability of the Camassa–Holm equation by a finite dimensional force 86

Shirshendu Chowdhury, Rajib Dutta and Debanjit Mondal

Published online: 08 October 2025

DOI: https://doi.org/10.1051/cocv/2025071

• Abstract
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Optimality conditions for a class of multi-objective control problems 87

Yanming Dong and Xu Liu

Published online: 05 November 2025

DOI: https://doi.org/10.1051/cocv/2025074

• Abstract
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Domains of dependence for subelliptic wave equations and unique continuation for fractional powers of Hörmander’s operators 88

Nicolas Burq and Claude Zuily

Published online: 05 November 2025

DOI: https://doi.org/10.1051/cocv/2025073

• Abstract
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Fast convex optimization via closed-loop time scaling of gradient dynamics 89

Hedy Attouch, Radu Ioan Boţ and Dang-Khoa Nguyen

Published online: 07 November 2025

DOI: https://doi.org/10.1051/cocv/2025076

• Abstract
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Nonlocal approximation of the anisotropic perimeter and application to topology optimization 90

Samuel Amstutz and Beniamin Bogosel

Published online: 17 November 2025

DOI: https://doi.org/10.1051/cocv/2024071

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Accessibility condition for discrete-time linear systems on Lie groups 91

Thiago M. Cavalheiro, Alexandre J. Santana and Eduardo Celso Viscovini

Published online: 17 November 2025

DOI: https://doi.org/10.1051/cocv/2025077

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On extremal points for some vectorial total variation seminorms 92

Kristian Bredies, José A. Iglesias and Daniel Walter

Published online: 17 November 2025

DOI: https://doi.org/10.1051/cocv/2025078

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A Liouville theorem for elliptic equations in divergence form with a potential 93

Stefano Biagi and Fabio Punzo

Published online: 17 November 2025

DOI: https://doi.org/10.1051/cocv/2025080

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Semigroup stability of the interaction of an undamped plate and a viscoelastic plate 94

Zhaobin Kuang, Zhuangyi Liu and Louis Tebou

Published online: 28 November 2025

DOI: https://doi.org/10.1051/cocv/2025079

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Optimal control of pseudo-parabolic KWC systems for grain boundary motion 95

Harbir Antil, Daiki Mizuno and Ken Shirakawa

Published online: 28 November 2025

DOI: https://doi.org/10.1051/cocv/2025081

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Over-order multiplicities and their application in controlling delay dynamics. On zeros’ distribution of linear combinations of Kummer hypergeometric functions 96

Islam Boussaada, Guilherme Mazanti and Silviu-Iulian Niculescu

Published online: 05 December 2025

DOI: https://doi.org/10.1051/cocv/2024055

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Three-level multi-leader-follower incentive Stackelberg differential game with H_∞ constraint 97

Na Xiang and Jingtao Shi

Published online: 05 December 2025

DOI: https://doi.org/10.1051/cocv/2025083

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The ϕ-null controllability for semi-discrete stochastic semilinear parabolic equations 98

Yu Wang and Qingmei Zhao

Published online: 05 December 2025

DOI: https://doi.org/10.1051/cocv/2025082

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Variational Analysis of Discrete Dirichlet Problems in Periodically Perforated Domains 99

Giuliana Fusco

Published online: 24 December 2025

DOI: https://doi.org/10.1051/cocv/2025085

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Second-order optimality conditions for time-optimal control problems governed by semilinear parabolic equations 100

H. Khanh, B.T. Kien and A. Rösch

Published online: 07 January 2026

DOI: https://doi.org/10.1051/cocv/2025075

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On non-autonomous parabolic equations with measure-valued right hand sides and applications to optimal control 101

Karl Kunisch and Joachim Rehberg

Published online: 07 January 2026

DOI: https://doi.org/10.1051/cocv/2025084

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Pattern-preserving optimal control problems with increasing time horizon 102

Matteo Della Rossa and Lorenzo Freddi

Published online: 07 January 2026

DOI: https://doi.org/10.1051/cocv/2025088

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