Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Integral maximum principle and its applications

Alexander Grigor'yana1

a1 Department of Mathematics, Bielefeld University, Postfach 100131 33501 Bielefeld, Germany

Abstract

The integral maximum principle for the heat equation on a Riemannian manifold is improved and applied to obtain estimates of double integrals of the heat kernel.

(Received January 15 1993)

(Revised April 20 1993)