Asymptotic Stability of Nonlinear Stochastic Evolution Equations

Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a non-exponential decay rate. The situation containing some hereditary cha...

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Bibliographic Details
Published in:Stochastic analysis and applications 2003-01, Vol.21 (2), p.301-327
Main Authors: Caraballo, Tomás, Garrido-Atienza, María J., Real, José
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic analysis
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Summary:Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a non-exponential decay rate. The situation containing some hereditary characteristics is also treated. The results are illustrated with several examples.
ISSN:0736-2994
1532-9356
DOI:10.1081/SAP-120019288