A stability property of the stochastic heat equation

Jan Ubøe and Tusheng Zhang

Stochastic Processes and their Applications, 1995, vol. 60, issue 2, 247-260

Abstract: In this paper we consider continuity properties of a stochastic heat equation of the form [not partial differential]u(t,x)/[not partial differential]t = [not partial differential]2u(t,x)/[not partial differential]x2 + f(u(t,x))Wx,t. We prove that the solutions of this equation depend continuously on the function f and give some new estimates for this connection.

Keywords: Stochastic heat equation White noise; Banach spaces (search for similar items in EconPapers)
Date: 1995
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