On Parabolic Measures and Subparabolic Functions

DOI10.2307/1998688zbMath0426.35044OpenAlexW4240217653MaRDI QIDQ3861811

Jang-Mei G. Wu

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998688

zbMATH Keywords

maximum principleheat equationHarnack inequalityGreen's functionLipschitz domainSchauder estimatesparabolic functionBrownian trajectoriesparabolic measuressubparabolic functions

Mathematics Subject Classification ID

Heat equation (35K05) Maximum principles in context of PDEs (35B50) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (10)

Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders ⋮ Harmonic measure and heat equation ⋮ Unnamed Item ⋮ On heat capacity and parabolic measure ⋮ Comparison of Green functions and harmonic measures for parabolic operators ⋮ Area Integral Estimates for Caloric Functions ⋮ Caloric Measure Null Sets ⋮ Solutions positives et mesure harmonique pour des operateurs paraboliques dans des ouverts ``Lipschitziens. (Positive solutions and harmonic measure for parabolic operators in ``Lipschitz domains) ⋮ Parabolic potential theory ⋮ Unnamed Item

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• Estimates of harmonic measure
• On the Boundary Behaviour of Green Potentials
• A Probability Approach to the Heat Equation
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• Boundary limits of Green's potentials along curves
• On Functions Subharmonic in a Lipschitz Domain
• A harnack inequality for parabolic differential equations
• On the Boundary Values of Harmonic Functions
• Kernel functions and parabolic limits for the heat equation
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
• A general form of the covering principle and relative differentiation of additive functions. II

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