Widder's representation theorem for symmetric local Dirichlet spaces

DOI10.1007/s10959-013-0484-1zbMath1304.31008arXiv1204.1926OpenAlexW2068212556MaRDI QIDQ482795

Nathaniel Eldredge, Laurent Saloff-Coste

Publication date: 6 January 2015

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1926

zbMATH Keywords

Harnack inequalityparabolic equationDirichlet formDirichlet spacenon-negative solutionWidder's theorem

Mathematics Subject Classification ID

Dirichlet forms (31C25) Analysis on metric spaces (30L99)

Related Items (6)

Rough hypoellipticity for the heat equation in Dirichlet spaces ⋮ Time regularity for local weak solutions of the heat equation on local Dirichlet spaces ⋮ Scale-invariant boundary Harnack principle in inner uniform domains ⋮ The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms ⋮ Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms ⋮ The Dirichlet heat kernel in inner uniform domains in fractal-type spaces

Cites Work

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• The heat semigroup and Brownian motion on strip complexes
• Uniformly elliptic operators on Riemannian manifolds
• Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations
• Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries
• Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces
• Small time heat kernel behavior on Riemannian complexes
• Brownian motion on the Sierpinski gasket
• Estimations of the heat kernel on homogeneous spaces
• Dirichlet forms and symmetric Markov processes
• Heat escape
• Invariant local Dirichlet forms on locally compact groups
• Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
• Uniqueness of locally symmetric Brownian motion on Laakso spaces
• Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
• Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form
• Stability of parabolic Harnack inequalities on metric measure spaces
• Integral representation of dominated operations on spaces of continuous vector fields
• On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces
• A Temperature Function Which Vanishes Initially
• Minimal Solutions of the Heat Equation and Uniqueness of the Positive Cauchy Problem on Homogeneous Spaces
• Behavior of diffusion semi-groups at infinity
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
• A harnack inequality for parabolic differential equations
• Correetion to “A Harnack Inequality for Parabolic Differential Equations”
• Positive Temperatures on an Infinite Rod
• Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces

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