Title of article
Stochastic evolution equations with a spatially homogeneous Wiener process
Author/Authors
Peszat، نويسنده , , Szymon and Zabczyk، نويسنده , , Jerzy، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
18
From page
187
To page
204
Abstract
A semilinear parabolic equation on Rd with a non-additive random perturbation is studied. The noise is supposed to be a spatially homogeneous Wiener process. Conditions for the existence and uniqueness of the solution in terms of the spectral measure of the noise are given. Applications to population and geophysical models are indicated. The Freidlin-Wentzell large deviation estimates are obtained as well.
Keywords
Stochastic partial differential equations , Random environment , Homogeneous Wiener process , Large deviation principle
Journal title
Stochastic Processes and their Applications
Serial Year
1997
Journal title
Stochastic Processes and their Applications
Record number
1576189
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