Harmonic measure and heat equation

DOI10.1007/BF02559511zbMath0916.31001OpenAlexW2080748823MaRDI QIDQ1916308

Yanick Heurteaux

Publication date: 13 November 1997

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559511

zbMATH Keywords

heat equationharmonic measureabsolute continuity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (2)

CALORIC MEASURE FOR ARBITRARY OPEN SETS ⋮ Caloric Measure Null Sets

Cites Work

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• A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
• Parabolic potential theory
• Dirichlet problem of heat equation for \(C^ 2\) domains
• Uniqueness of positive solutions of the heat equation
• Solutions positives et mesure harmonique pour des operateurs paraboliques dans des ouverts ``Lipschitziens. (Positive solutions and harmonic measure for parabolic operators in ``Lipschitz domains)
• A Hausdorff measure classification of polar sets for the heat equation
• On heat capacity and parabolic measure
• On Parabolic Measures and Subparabolic Functions
• Regularity Properties of Commutators and Layer Potentials Associated to the Heat Equation
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values

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