Extremal properties of the first eigenvalue of Schrödinger-type operators

1998/04/20 by Lino Notarantonio, Notarantonio, Lino
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP

paper · pdf · doi:10.48550/arxiv.math/9804089

15 pages. Accepted for publication on Journal of Functional Analysis

arxiv created 1998/04/20 · openalex publication_date 1998/04/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a separable, locally compact Hausdorff space X and a positive Radon measure m(dx) on it, we study the problem of finding the potential V(x) ≥ 0 that maximizes the first eigenvalue of the Schrödinger-type operator L+V(x); L is the generator of a local Dirichlet form (a, D[a]) on L²(X, m(dx)).

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