On the Pathwise Exponential Stability of Nonlinear Stochastic Partial-Differential Equations

Description

Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone stochastic Partial Differential Equation are proved. In fact, we improve a stability criterion established in Chow since, under the same hypotheses, we get pathwise exponential stability instead of stability of sample paths.

Additional details