Regularity of boundary points in the Dirichlet problem for the heat equation

Authors

  • N. A. Watson University of Canterbury, Christchurch, New Zealand

Keywords:

heat equation, regularity, Dirichlet problem, barrier, PWB solution

Abstract

We show that the null limit hypothesis, in the deï¬nition of a barrier, can be relaxed for normal boundary points that satisfy a mild additional condition. We also give a simple necessary and sufficient condition for the regularity of semi-singular boundary points. DOI:- 10.1017/S0004972714000574

Author Biography

N. A. Watson, University of Canterbury, Christchurch, New Zealand

School of Mathematics and Statistics, Adjunct Associate Professor

Published

2014-09-20

Issue

Vol. 90 No. 3 (2014)

Section

Articles
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