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Articles

25. V. Hernández-Santamaría, K. Le Balc'h, L. Peralta, Lp-estimates, controllability and local-well posedness for backward SPDEs, submitted 2024

24. K. Le Balc'h, Sharp local Bernstein estimates for Laplace eigenfunctions on Riemannian manifolds, submitted 2024

23. K. Le Balc'h, J. Martin, Quantitative propagation of smallness and spectral estimates for the Schrödinger operator, submitted 2024

22. U. Boscain, K. Le Balc'h, M. Sigalotti, Schrödinger eigenfunctions sharing the same modulus and applications to the control of quantum systems, submitted 2024

21. K. Le Balc'h, D. Souza, Quantitative unique continuation for real-valued solutions to second order elliptic equations in the plane, submitted 2023

20. K. Le Balc'h, J. Martin, Global stabilization of the cubic defocusing nonlinear Schrödinger equation on the torus, submitted 2023

19. K. Le Balc'h, J. Martin, Observability estimates for the Schrödinger equation in the plane with periodic bounded potentials from measurable sets, submitted 2023

18. K. Le Balc'h, T. Takahashi, Null-controllability of cascade reaction-diffusion systems with odd coupling terms, 2024, Annales Mathématiques Blaise Pascal, To appear.

17. M. Azaiez, K. Le Balc'h, Numerical study of semidiscrete penalty approach for stabilizing Boussinesq system with localized feedback control, 2024, Annals of Applied Mathematics, DOI information: 10.4208/aam.OA-2024-0013

16. S. Ervedoza, K. Le Balc'h, Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory, 2023, Communications in Partial Differential Equations,  DOI information: https://doi.org/10.1080/03605302.2023.2190526

15. F. W. Chaves-Silva, E. Fernández-Cara, K. Le Balc'h, L. Machado, D. Souza, Small-time global exact controllability to the trajectories for the viscous Boussinesq system, 2023, SIAM Journal on Control and Optimization: SICON, DOI information: https://doi.org/10.1137/21M1425566

14. V. Hernández-Santamaría, K. Le Balc'h, L. Peralta, Global null-controllability for stochastic semilinear parabolic equations, 2023, Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, DOI information: https://doi.org/10.4171/aihpc/69

13. S. Ervedoza, K. Le Balc'h, M. Tucsnak, Reachability results for perturbed heat equations, 2022, Journal of Functional Analysis, DOI information: https://doi.org/10.1016/j.jfa.2022.109666

12. J. Bárcena-Petisco, K. Le Balc'h, Local null controllability of the penalized Boussinesq system with a reduced number of controls, 2021, Mathematical Control and Related Fields, DOI information: 10.3934/mcrf.2021038

11. V. Hernández-Santamaría, K. Le Balc'h, Local-controllability of the one-dimensional nonlocal Gray-Scott model with moving controls, 2021, Journal of Evolution Equations, DOI information: 10.1007/s00028-021-00725-y

10. V. Hernández-Santamaría, K. Le Balc'h, L. Peralta, Statistical null-controllability of stochastic nonlinear parabolic equations, 2021, Stochastics and Partial Differential Equations: Analysis and Computations, DOI information: https://doi.org/10.1007/s40072-021-00197-8

9. K. Le Balc'h, Exponential bounds for gradient of solutions to linear elliptic and parabolic equations, 2021, Journal of Functional Analysis, DOI information: https://doi.org/10.1016/j.jfa.2021.109094

8. K. Le Balc'h, M. Tucsnak, A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system, 2021, ESAIM: Control, Optimization and Calcul of Variation, DOI information: 10.1051/cocv/2021008

7. V. Hernández-Santamaría, K. Le Balc'h, Local null-controllability of a nonlocal semilinear heat equation, 2020, Applied Mathematics & Optimization, DOI information: 10.1007/s00245-020-09683-2

6. K. Beauchard, A. Koenig, K. Le Balc'h, Null-controllability of linear parabolic-transport systems, 2020, Journal de l'Ecole Polytechnique, DOI information: https://doi.org/10.5802/jep.127

5. K. Le Balc'h, Global null-controllability and nonnegative-controllability of slightly superlinear heat equations, 2020, Journal de Mathématiques Pures et Appliquées, DOI information: https://doi.org/10.1016/j.matpur.2019.10.009

4. K. Le Balc'h, Local controllability of reaction-diffusion systems around nonnegative stationary states, 2019, ESAIM: Control, Optimization and Calcul of Variation, DOI information: https://doi.org/10.1051/cocv/2019033

3. K. Le Balc'h, Null-controllability of two species reaction-diffusion system with nonlinear coupling: a new duality method, 2019, SIAM Journal on Control and Optimization: SICON, DOI information: 10.1137/18M1173010

2. K. Le Balc'h, Controllability of a 4 x 4 quadratic reaction-diffusion system, 2019, Journal of Differential Equations, DOI information: 10.1016/j.jde.2018.08.046

1. B. Fabrèges, H. Hivert, K. Le Balc'h, S. Martel, F. Delarue, F. Lagoutière, N. Vauchelet, Numerical schemes for the aggregation equation with pointy potential, 2019, ESAIM Proceedings and Surveys, DOI information: https://doi.org/10.1051/proc/201965384