The \(L^{\infty }\)-positivity preserving property and stochastic completeness

DOI10.1007/S11118-022-10041-WarXiv2112.11774OpenAlexW4293113838MaRDI QIDQ6145287

Ludovico Marini, Andrea Bisterzo

Publication date: 9 January 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11774

zbMATH Keywords

Schrödinger operatormonotone approximationstochastic completenessmean value representation\(L^p\)-positivity preserving property

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (3)

Some functional properties on Cartan-Hadamard manifolds of very negative curvature ⋮ Growth of subsolutions of \(\Delta_p u = V|u|^{p-2} u\) and of a general class of quasilinear equations ⋮ \(L^p_{loc}\) positivity preservation and Liouville-type theorems

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