Caloric Measure Null Sets

DOI10.53733/156zbMath1473.35332OpenAlexW3187358218MaRDI QIDQ3380323

Neil A. Watson

Publication date: 28 September 2021

Published in: New Zealand Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.53733/156

zbMATH Keywords

Dirichlet problempolar setcaloric measure

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (1)

The set of mildly regular boundary points has full caloric measure

Cites Work

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• Parabolic potential theory
• Dirichlet problem of heat equation for \(C^ 2\) domains
• Harmonic measure and heat equation
• An Example on Null Sets of Parabolic Measures
• Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
• A Hausdorff measure classification of polar sets for the heat equation
• On Parabolic Measures and Subparabolic Functions
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• CALORIC MEASURE FOR ARBITRARY OPEN SETS
• UNIQUENESS OF EXTENDABLE TEMPERATURES

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