Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
MiS Preprint
28/2002
First boundary value problem for the diffusion equation. I.Iterated logarithm test for the boundary regularity and solvability.
Ugur G. Abdulla
Abstract
This paper establishes a precise sufficient condition for the regularity of a boundary point of an arbitrary open subset of $R^{N+1}$ ($N \geq 2$), and for the solvability of the first boundary value problem for the diffusion equation in general domains.