On the essential boundary and supports of harmonic measures for the heat equation

DOI10.3792/pjaa.56.381zbMath0461.31004OpenAlexW2042305964MaRDI QIDQ1152499

Noriaki Suzuki

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.381

zbMATH Keywords

Dirichlet problemheat equationfundamental solutionharmonic measurepositive measureparabolic boundaryessential boundarymethod of Perron-Wiener-Brelot

Mathematics Subject Classification ID

Heat equation (35K05) Axiomatic potential theory (31D05) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (3)

BMO solvability and absolute continuity of caloric measure ⋮ A weak reverse Hölder inequality for caloric measure ⋮ CALORIC MEASURE FOR ARBITRARY OPEN SETS

Cites Work

• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• Unnamed Item

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