A Hausdorff measure classification of polar sets for the heat equation

DOI10.1017/S0305004100062873zbMath0584.31006MaRDI QIDQ3709058

Neil A. Watson, S. James Taylor

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

heat equationpolar setscritical dimensionnon-probabilistic methodsHausdorff type measurerestricted Hausdorff measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Heat equation (35K05) Connections of harmonic functions with differential equations in higher dimensions (31B35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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Cites Work

• Parabolic potential theory
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• Thermal Capacity
• Unnamed Item

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