Optimal potentials for Schrödinger operators
Copyright policy )Optimal potentials for Schrödinger operators
We consider the Schrödinger operator - Δ + V ( x ) on H 0 1 ( Ω ) , where Ω is a given domain of ℝ d . Our goal is to study some optimization problems where an optimal potential V ≥ 0 has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.
- University of Pisa Italy
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Schr"odinger operators, optimal potentials, spectral optimization, capacity., Methods involving semicontinuity and convergence; relaxation, capacity, optimal potentials, spectral optimization, 49J45, 35J10, 49R05, 35P15, 35J05, Estimates of eigenvalues in context of PDEs, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, MAT/05 - Analisi matematica, FOS: Mathematics, Schrödinger operators, Variational methods for eigenvalues of operators, Analysis of PDEs (math.AP)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Schr"odinger operators, optimal potentials, spectral optimization, capacity., Methods involving semicontinuity and convergence; relaxation, capacity, optimal potentials, spectral optimization, 49J45, 35J10, 49R05, 35P15, 35J05, Estimates of eigenvalues in context of PDEs, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, MAT/05 - Analisi matematica, FOS: Mathematics, Schrödinger operators, Variational methods for eigenvalues of operators, Analysis of PDEs (math.AP)
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