Journal
STOCHASTIC ANALYSIS AND APPLICATIONS
Volume 21, Issue 2, Pages 301-327Publisher
TAYLOR & FRANCIS INC
DOI: 10.1081/SAP-120019288
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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.
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