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:
File | Dimensione | Formato | |
---|---|---|---|
JEP_2014__1__71_0.pdf
accesso aperto
Tipologia:
Versione finale editoriale
Licenza:
Creative commons
Dimensione
891.42 kB
Formato
Adobe PDF
|
891.42 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.