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.
Optimal Potentials for Schroedinger Operators
BUTTAZZO, GIUSEPPE;Velichkov B.
2014-01-01
Abstract
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.File in questo prodotto:
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