Large deviations and invariant measures for stochastic partial differential equations in infinite dimensions
This thesis consists of two parts. We start with some background theory that will be used throughout the thesis. Then, in the first part, we investigate the invariant measures of stochastic evolution equations of pure jump type and obtain a characterization of invariant measures. As an application,...
Main Author: | |
---|---|
Published: |
University of Manchester
2009
|
Subjects: | |
Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.496642 |
Summary: | This thesis consists of two parts. We start with some background theory that will be used throughout the thesis. Then, in the first part, we investigate the invariant measures of stochastic evolution equations of pure jump type and obtain a characterization of invariant measures. As an application, it is shown that the equation has a unique invariant probability measure under some reasonable conditions. |
---|