Derives explicit conditions for p-th moment and almost sure exponential stability of linear stochastic evolution equations with multiplicative noise, clarifies their relationship, applies to SPDEs, and shows preservation under spectral Galerkin plus implicit Euler-Maruyama discretization.
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Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise
Derives explicit conditions for p-th moment and almost sure exponential stability of linear stochastic evolution equations with multiplicative noise, clarifies their relationship, applies to SPDEs, and shows preservation under spectral Galerkin plus implicit Euler-Maruyama discretization.