Almost sure asymptotic stability of fractional stochastic nonlinear heat equation
Almost sure asymptotic stability of fractional stochastic nonlinear heat equation
Abstract
Recently, the fractional stochastic nonlinear heat equation in the Hilbert space L2(0; 1), driven by the fractional power of the Laplacian and perturbed by a trace-class noise has been studied by the first and the last authors. They have proved the wellposedness, the pth-moment exponential stability and the almost surely exponential stability of such problem in the semigroup framework. The current work is considered as a continuation of the previousely mentioned paper. More particularly, we establish the almost sure asymptotic stability under the same conditions imposed in our recent work, besides a regularity of the initial condition. Finally, some examples are provided to illustrate the obtained theory.
Published
2025-09-28
How to Cite
ARAB, Z., REDJIL, A., & El BORAI, M. M. (2025). Almost sure asymptotic stability of fractional stochastic nonlinear heat equation. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2593
Issue
Section
Research Articles
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