Hardy inequalities and non-explosion results for semigroups

2014/12/23 by Krzysztof Bogdan, Bogdan, Krzysztof, Bartłomiej Dyda +3
Mathematics · #35B25 #35B44 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Primary: 31C25 #Probability (math.PR) #Secondary: 31C05 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1412.7717

openalex publication_date 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.

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