REGULARITY OF BOUNDARY POINTS IN THE DIRICHLET PROBLEM FOR THE HEAT EQUATION

Author:

WATSON NEIL A.

Abstract

AbstractWe show that the null limit hypothesis, in the definition 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Introduction to Heat Potential Theory

2. Classical Potential Theory and Its Probabilistic Counterpart

3. Sul problema di Dirichlet per l'equazione del calore

4. �ber die Gleichung der W�rmeleitung

5. Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico;Pini;Rend. Semin. Mat. Univ. Padova,1954

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