Potential Theory in Lipschitz Domains

N. Th. Varopoulos

Type: Article

Publication Date: 2001-10-01

Citations: 12

DOI: https://doi.org/10.4153/cjm-2001-041-6

Abstract

Abstract We prove comparison theorems for the probability of life in a Lipschitz domain between Brownian motion and random walks.

Locations

Canadian Journal of Mathematics - View - PDF

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+	The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms	2012	Janna Lierl Laurent Saloff‐Coste
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Works Cited by This (30)

Action	Title	Year	Authors
+ PDF Chat	A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations	1986	Eugene B. Fabes Nicola Garofalo Sandro Salsa
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig
+	Multidimensional Diffusion Processes	1997	Daniel W. Stroock S. R. Srinivasa Varadhan
+	Evolving monotone difference operators on general space-time meshes	1998	Hung‐Ju Kuo Neil S. Trudinger
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman
+	Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien	1978	Alano Ancona
+	A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS	1981	Н. В. Крылов M. V. Safonov
+	Homogenization of Differential Operators and Integral Functionals	1994	V. V. Zhikov С. М. Козлов O. A. Oleĭnik
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg
+	Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds	1988	E. B. Davies