Search Results - "Balc'H, Kévin Le"

Exponential bounds for gradient of solutions to linear elliptic and parabolic equations by Le Balc'h, Kévin

“…In this paper, we prove global gradient estimates for solutions to linear elliptic and parabolic equations. For a sufficiently smooth bounded convex domain…”
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Reachability results for perturbed heat equations by Ervedoza, Sylvain, Le Balc'h, Kévin, Tucsnak, Marius

“…This work studies the reachable space of infinite dimensional control systems which are null controllable in any positive time, the typical example being the…”
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Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory by Ervedoza, Sylvain, Balc'h, Kévin Le

“…The goal of this article is to obtain observability estimates for non-homogeneous elliptic equations in the presence of a potential, posed on a smooth bounded…”
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Null-controllability of cascade reaction-diffusion systems with odd coupling terms by Balc'h, Kévin Le, Takahashi, Takéo

“…In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the…”
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Global null-controllability for stochastic semilinear parabolic equations by Hernández-Santamaría, Víctor, Le Balc’h, Kévin, Peralta, Liliana

“…In this paper we prove the small-time global null-controllability of forward (respectively backward) semilinear stochastic parabolic equations with globally…”
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Local Null-Controllability of a Nonlocal Semilinear Heat Equation by Hernández-Santamaría, Víctor, Le Balc’h, Kévin

“…This paper deals with the problem of internal null-controllability of a heat equation posed on a bounded domain with Dirichlet boundary conditions and…”
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Local controllability of the one-dimensional nonlocal Gray–Scott model with moving controls by Hernández-Santamaría, Víctor, Le Balc’h, Kévin

“…In this paper, we prove the local controllability to positive constant trajectories of a nonlinear system of two coupled ODE equations, posed in the…”
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Statistical null-controllability of stochastic nonlinear parabolic equations by Hernández-Santamaría, Víctor, Le Balc’h, Kévin, Peralta, Liliana

“…In this paper, we consider forward stochastic nonlinear parabolic equations with a control localized in the drift term. Under suitable assumptions, we prove…”
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Null-controllability of linear parabolic-transport systems by Beauchard, Karine, Koenig, Armand, Le Balc’h, Kévin

“…Over the past two decades, the controllability of several examples of parabolic-hyperbolic systems has been investigated. The present article is the beginning…”
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Numerical schemes for the aggregation equation with pointy potentials by Fabrèges, Benoît, Hivert, Hélène, Le Balc’h, Kevin, Martel, Sofiane, Delarue, François, Lagoutière, Frédéric, Vauchelet, Nicolas

“…The aggregation equation is a nonlocal and nonlinear conservation law commonly used to describe the collective motion of individuals interacting together. When…”
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Null-controllability of linear parabolic-transport systems by Beauchard, Karine, Koenig, Armand, Balc'h, Kévin Le

“…Journal de l'\'Ecole Polytechnique 7, 2020, pp. 743-802 Over the past two decades, the controllability of several examples of parabolic-hyperbolic systems has…”
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Sharp local Bernstein estimates for Laplace eigenfunctions on Riemannian manifolds by Balc'h, Kévin Le

“…This actual version contains a bad mistake, located in Section 2.3 that invalidates the proofs of the main results…”
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Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator by Balc'h, Kévin Le, Martin, Jérémy

“…In this paper, we investigate quantitative propagation of smallness properties for the Schr\"odinger operator on a bounded domain in $\mathbb R^d$. We extend…”
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Global stabilization of the cubic defocusing nonlinear Schr\"odinger equation on the torus by Balc'h, Kévin Le, Martin, Jérémy

“…In this article, we prove the (uniform) global exponential stabilization of the cubic defocusing Schr\"odinger equation on the torus d-dimensional torus, for…”
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Observability estimates for the Schr{\"o}dinger equation in the plane with periodic bounded potentials from measurable sets by Balc'H, Kévin Le, Martin, Jérémy

“…The goal of this article is to obtain observability estimates for Schr{\"o}dinger equations in the plane R 2. More precisely, considering a 2$\pi$Z 2-periodic…”
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Schr{\"o}dinger eigenfunctions sharing the same modulus and applications to the control of quantum systems by Boscain, Ugo, Balc'H, Kévin Le, Sigalotti, Mario

“…In this paper we investigate when linearly independent eigenfunctions of the Schr\''odinger operator may have the same modulus. General properties are…”
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Quantitative unique continuation for real-valued solutions to second order elliptic equations in the plane by Balc'h, Kévin Le, Souza, Diego A

“…In this article, we study a quantitative form of the Landis conjecture on exponential decay for real-valued solutions to second order elliptic equations with…”
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Exponential bounds for gradient of solutions to linear elliptic and parabolic equations by Balc'h, Kévin Le

“…In this paper, we prove global gradient estimates for solutions to linear elliptic and parabolic equations. For a sufficiently smooth bounded convex domain…”
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Approximate controllability of the linearized Boussinesq system in a two dimensional channel by Balc'h, Kévin Le

“…In this paper, we prove an approximate controllability result for the linearized Boussinesq system around a fluid at rest, in a two dimensional channel, when…”
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L^{p}$-estimates, controllability and local-well posedness for backward SPDEs by Hernández-Santamaría, Víctor, Balc'h, Kévin Le, Peralta, Liliana

“…In this paper, we study linear backward parabolic SPDEs and present new a priori estimates for their weak solutions. Inspired by the seminal work of Y. Hu, J…”
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