REGULARITY OF BOUNDARY POINTS IN THE DIRICHLET PROBLEM FOR THE HEAT EQUATION

DOI10.1017/S0004972714000574zbMath1307.35074OpenAlexW2046589352MaRDI QIDQ2933695

Neil A. Watson

Publication date: 5 December 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972714000574

zbMATH Keywords

barrierPWB solutionnull limit hypothesissemi-singular boundary points

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Heat kernel (35K08)

Related Items (2)

Global \(C^1\) regularity of the value function in optimal stopping problems ⋮ Blow-ups of caloric measure in time varying domains and applications to two-phase problems

Cites Work

• Unnamed Item
• Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation
• Sulproblema di Dirichlet per l'equazione del calore
• Wiener's criterion for the heat equation
• Harmonic spaces and their potential theory
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• First Boundary Value Problem for the Diffusion Equation I. Iterated Logarithm Test for the Boundary Regularity and Solvability

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