First boundary value problem for the diffusion equation. I.Iterated logarithm test for the boundary regularity and solvability.

Ugur G. Abdulla

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Submission date: 18. Mar. 2002
published in: SIAM journal on mathematical analysis, 34 (2003) 6, p. 1422-1434 
DOI number (of the published article): 10.1137/S0036141002415049
Bibtex
Keywords and phrases: first boundary value problem, diffusion equation, boundary regularity

Abstract:
This paper establishes a precise sufficient condition for the regularity of a boundary point of an arbitrary open subset of (), and for the solvability of the first boundary value problem for the diffusion equation in general domains.