Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation

Authors

Ugur G. Abdulla

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.