Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - October 1999 - Volume 42, Issue 03  

Research Article

On the approximation of Finsler metrics on Euclidean domains

G. Barbatisa1 p1

a1 Department of Mathematics, King's College, Strand London WC2R 2LS, England

We prove that Finsler metrics on Euclidean domains can be approximated in a certain sense by so-called Finsler-type metrics. As an application we improve upon previous estimates on the fundamental solution of higher order parabolic equations.

(Received December 03 1997)

Correspondence:

p1 Current address: Department of Mathematics, University of Crete, 71409 Heraklion Crete, Greece