Asymptotics for certain Wiener integrals associated with higher order differential operators

Richard J. Griego and Andrzej Korzeniowski

Vol. 142 (1990), No. 1, 41–48

DOI: 10.2140/pjm.1990.142.41

Abstract

The aim of this paper is to derive a large deviation principle for a certain class of higher order operators by combining the ideas of Donsker and Varadhan with the random evolution point of view of Griego and Hersh.

Mathematical Subject Classification 2000

Primary: 35P15

Secondary: 35J99, 35R60, 60F10

Milestones

Received: 2 May 1988

Published: 1 March 1990