Optimal Potentials For Schrodinger Operators

2013/05/02 by Giuseppe Buttazzo, Buttazzo, Giuseppe, Augusto Gerolin +5
Computer Science · Mathematics · #35J05 #35J10 #35P15 #49J45 #49R05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35J05 #msc:35J10 #msc:35P15 #msc:49J45 #msc:49R05

paper · pdf · doi:10.48550/arxiv.1305.0406

23 pages, 2 figures

arxiv created 2013/05/02 · openalex publication_date 2013/05/02 · arxiv updated 2013/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Schrodinger operator a given domain. Our goal is to study some optimization problems where an optimal (non-negative) potential V has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.

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