Toward a geometric characterization of intrinsic ultracontractivity for Dirichlet Laplacians

DOI10.1307/mmj/1030374669zbMath0978.47032OpenAlexW1967297211MaRDI QIDQ1591623

Pedro J. Mendez-Hernandez

Publication date: 1 January 2001

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030374669

zbMATH Keywords

intrinsic ultracontractivitykilled Brownian motionDirichlet Laplacianstube along a geodesicwide access property

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Markov semigroups and applications to diffusion processes (47D07) General theory of partial differential operators (47F05) Transition functions, generators and resolvents (60J35)

Related Items (6)

Intrinsic ultracontractivity for domains in negatively curved manifolds ⋮ Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations ⋮ Intrinsic ultracontractivity for stable semigroups on unbounded open sets ⋮ Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries ⋮ Intrinsic ultracontractivity and small perturbation for one-dimensional generalized diffusion operators ⋮ Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes

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