We consider the Schr"odinger operator $-Delta+V(x)$ on $H^1_0(Omega)$, where $Omega$ is a given domain of $R^d$. Our goal is to study some optimization problems where an optimal potential $Vge0$ has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
Let $M$ be a compact Riemannian manifold with or without boundary, and let $-\Delta $ be its Laplace...
International audienceThis article is devoted to prove a stability result for two independent coeffi...
In this chapter we consider Schrödinger operators of the form −∆+V(x) on the Sobolev space H_0^1(D),...
31 pagesGiven a potential $V$ and the associated Schrödinger operator $-\Delta+V$, we consider the p...
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal...
SUMMARY We consider the Schrodinger operator a given domain. Our goal is to study some optimizatio...
Au cours des 20 dernières années, la théorie du transport optimal s’est revelée être un outil effica...
International audienceWe consider a semi-classical Schrodinger operator with a degenerate potential ...
The aim of this article is to prove a quantitative inequality for the first eigenvalue of a Schrödin...
AbstractLet H(λ)=−Δ+λb be a discrete Schrödinger operator on ℓ2(Zd) with a potential b and a non-neg...
International audienceWe consider the problem of finding extremal potentials for the functional dete...
Necessary and sufficient conditions are presented for a positive measure to be the spectral measure ...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
Let $M$ be a compact Riemannian manifold with or without boundary, and let $-\Delta $ be its Laplace...
International audienceThis article is devoted to prove a stability result for two independent coeffi...
In this chapter we consider Schrödinger operators of the form −∆+V(x) on the Sobolev space H_0^1(D),...
31 pagesGiven a potential $V$ and the associated Schrödinger operator $-\Delta+V$, we consider the p...
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal...
SUMMARY We consider the Schrodinger operator a given domain. Our goal is to study some optimizatio...
Au cours des 20 dernières années, la théorie du transport optimal s’est revelée être un outil effica...
International audienceWe consider a semi-classical Schrodinger operator with a degenerate potential ...
The aim of this article is to prove a quantitative inequality for the first eigenvalue of a Schrödin...
AbstractLet H(λ)=−Δ+λb be a discrete Schrödinger operator on ℓ2(Zd) with a potential b and a non-neg...
International audienceWe consider the problem of finding extremal potentials for the functional dete...
Necessary and sufficient conditions are presented for a positive measure to be the spectral measure ...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
Let $M$ be a compact Riemannian manifold with or without boundary, and let $-\Delta $ be its Laplace...
International audienceThis article is devoted to prove a stability result for two independent coeffi...
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