ESAIM: Control, Optimisation and Calculus of Variations

Probability-of-failure-based optimization for random PDEs through concentration-of-measure inequalities

Rogelio Ortigosa-Martínez, Jesús Martínez-Frutos and FRANCISCO PERIAGO

Received: 27 May 2022 / Revised: 06 July 2023 / Accepted: 22 October 2023

DOI: https://doi.org/10.1051/cocv/2023075

• PDF (1.557 MB)

Global exact controllability of the viscous and resistive MHD system in a rectangle thanks to the lateral sides and to distributed phantom forces

Jiajiang Liao

Received: 10 August 2023 / Accepted: 30 October 2023

DOI: https://doi.org/10.1051/cocv/2023078

• PDF (454.5 KB)

Mass concentration for Ergodic Choquard Mean-Field Games

Chiara Bernardini

Received: 30 November 2022 / Revised: 28 June 2023 / Accepted: 12 November 2023

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

• PDF (640.9 KB)

New minimax theorems for lower semicontinuous functions and applications

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

Received: 14 April 2022 / Revised: 14 August 2023 / Accepted: 13 January 2024

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

• PDF (573.9 KB)

Approximation of splines in Wasserstein spaces

Jorge Andres Justiniano, Martin Rumpf and Matthias Erbar

Received: 30 December 2022 / Revised: 07 September 2023 / Accepted: 19 January 2024

DOI: https://doi.org/10.1051/cocv/2024008

• PDF (10.57 MB)

Asymptotic behavior of null controllability cost for parabolic equations with vanishing diffusivity under Robin and Neumann boundary conditions

Fouad Et-tahri, Jon Asier Bárcena-Petisco, Idriss Boutaayamou and Lahcen Maniar

Received: 17 June 2023 / Revised: 08 May 2024 / Accepted: 08 May 2024

DOI: https://doi.org/10.1051/cocv/2024042

• PDF (619.4 KB)

Local quadratic convergence of the SQP method for an optimal control problem governed by a regularized fracture propagation model

Ira Neitzel and Andreas Hehl

Received: 29 July 2023 / Revised: 26 April 2024 / Accepted: 12 July 2024

DOI: https://doi.org/10.1051/cocv/2024052

• PDF (548.7 KB)

Dispersive problem and control sets of linear control systems on Lie groups

Josiney Souza

Received: 04 July 2023 / Revised: 16 July 2024 / Accepted: 17 July 2024

DOI: https://doi.org/10.1051/cocv/2024054

• PDF (499.2 KB)

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

Islam Boussaada, Guilherme Mazanti and Silviu Iulian Niculescu

Received: 28 October 2023 / Revised: 16 April 2024 / Accepted: 29 July 2024

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

• PDF (573.5 KB)

Control of waves on Lorentzian manifolds with curvature bounds

Vaibhav Kumar Jena and Arick Shao

Received: 06 November 2023 / Accepted: 29 July 2024

DOI: https://doi.org/10.1051/cocv/2024056

• PDF (738.3 KB)

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

Yunlei Wang

Received: 12 March 2024 / Revised: 11 July 2024 / Accepted: 29 July 2024

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

• PDF (503.8 KB)

Sub-Riemannian cut time and cut locus in Reiter-Heisenberg groups

ANNAMARIA MONTANARI and Daniele Morbidelli

Received: 22 December 2023 / Revised: 18 July 2024 / Accepted: 01 August 2024

DOI: https://doi.org/10.1051/cocv/2024058

• PDF (379.6 KB)

Insensitizing control problems for the stabilized Kuramoto-Sivashinsky system

Kuntal Bhandari and Victor Hernández-Santamaría

Received: 27 April 2023 / Revised: 24 March 2024 / Accepted: 06 August 2024

DOI: https://doi.org/10.1051/cocv/2024059

• PDF (595.1 KB)

Existence, uniqueness and L2 t (Hx2) ∩ L∞ t (Hx1) ∩ Ht1(L2 x ) regularity of the gradient flow of the Ambrosio-Tortorelli functional

Tommaso Cortopassi

Received: 08 May 2023 / Revised: 14 May 2024 / Accepted: 07 August 2024

DOI: https://doi.org/10.1051/cocv/2024060

• PDF (182.2 KB)

Extremal functions for the critical Trudinger-Moser inequality with logarithmic Kernels

Silvia Cingolani, TOBIAS WETH and MENG YU

Received: 09 December 2023 / Revised: 28 July 2024 / Accepted: 07 August 2024

DOI: https://doi.org/10.1051/cocv/2024061

• PDF (413.4 KB)

Boundary feedback control for hyperbolic systems

Michael Herty and Ferdinand Thein

Received: 13 March 2023 / Revised: 07 May 2024 / Accepted: 09 August 2024

DOI: https://doi.org/10.1051/cocv/2024062

• PDF (542.7 KB)

Comparison Results for Gromov-Wasserstein and Gromov-Monge Distances

Facundo Mémoli and Tom Needham

Received: 11 July 2023 / Revised: 25 March 2024 / Accepted: 12 August 2024

DOI: https://doi.org/10.1051/cocv/2024063

• PDF (439.0 KB)

Time-inconsistent linear quadratic optimal control problem for forward-backward stochastic differential equations

Qi Lu and Bowen Ma

Received: 24 February 2024 / Revised: 30 May 2024 / Accepted: 19 August 2024

DOI: https://doi.org/10.1051/cocv/2024064

• PDF (315.3 KB)

Variational properties of space-periodic standing waves of nonlinear Schrödinger equations with general nonlinearities

Perla Kfoury and Stefan Le Coz

Received: 03 May 2024 / Revised: 19 July 2024 / Accepted: 24 August 2024

DOI: https://doi.org/10.1051/cocv/2024065

• PDF (3.302 MB)

On fractional Hardy-type inequalities in general open sets.

Eleonora Cinti and Francesca Prinari

Received: 10 July 2024 / Accepted: 24 August 2024

DOI: https://doi.org/10.1051/cocv/2024066

Maximizers of nonlocal interactions of Wasserstein Type

Almut Burchard, Davide Carazzato and Ihsan Topaloglu

Received: 25 September 2023 / Revised: 07 May 2024 / Accepted: 06 September 2024

DOI: https://doi.org/10.1051/cocv/2024068

• PDF (508.8 KB)

Escape from compact sets of normal curves in Carnot groups

Enrico Le Donne and Nicola Paddeu

Received: 21 September 2023 / Revised: 08 May 2024 / Accepted: 06 September 2024

DOI: https://doi.org/10.1051/cocv/2024067

The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

Long Hu and Guillaume Olive

Received: 29 March 2024 / Revised: 04 September 2024 / Accepted: 09 September 2024

DOI: https://doi.org/10.1051/cocv/2024069