We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal is to study some optimization problems where an optimal potential V has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.
Buttazzo G, Gerolin A, Ruffini B, Velichkov B (2014). Spectral Optimization Problems for Schroedinger Operators. JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES, 1, 71-100 [10.5802/jep.4].
Spectral Optimization Problems for Schroedinger Operators
Ruffini B;
2014
Abstract
We consider the Schrödinger operator −∆ + V (x) on H01(Ω), where Ω is a given domain of R . Our goal is to study some optimization problems where an optimal potential V 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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