Ratio limit theorem for parabolic horn-shaped domains

DOI10.1090/S0002-9947-06-03908-0zbMath1115.60074OpenAlexW1599846817MaRDI QIDQ3420356

Servet Martínez, Jaime San Martín, Pierre Collet

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03908-0

zbMATH Keywords

Harnack inequalityBessel processheat kernel

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Probabilistic potential theory (60J45)

Related Items (2)

Brownian motion with a horizontal Bessel drift in a parabolic-type domain ⋮ The Martin kernel for unbounded domains

Cites Work

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• Semismall perturbations in the Martin theory for elliptic equations
• Asymptotic of the heat kernel in general Benedicks domains
• Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain
• Potential theory - selected topics
• Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations
• The first exit time of Brownian motion form a parabolic domain
• Subexponential behaviour of the Dirichlet heat kernel
• The first exit time of planar Brownian motion from the interior of a parabola
• Theorie du Potentiel sur les Graphes et les Varietes
• Positive Harmonic Functions Vanishing on the Boundary for the Laplacian in Unbounded Horn-Shaped Domains
• A harnack inequality for parabolic differential equations
• A first course in harmonic analysis

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