Document Type
Article
Publication Title
Boundary Value Problems
Abstract
This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of ( ) for the diffusion (or heat) equation. The result implies asymptotic probability law for the standard -dimensional Brownian motion.
First Page
181
Last Page
199
DOI
10.1155/BVP.2005.181
Publication Date
2005
Recommended Citation
Abdulla, U. G. (2005). Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation. Boundary Value Problems, (2), 181-199.
