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

Ugur G. Abdulla
(Please use for correspondence this email).

Submission date: 18. Mar. 2002
published in: SIAM journal on mathematical analysis, 34 (2003) 6, p. 1422-1434 
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.