Some stability results for semilinear stochastic heat equation driven by a fractional noise
Bull. Korean Math. Soc.
Published online 2018 Oct 29
Oussama ELBARRIMI, and Youssef Ouknine
Department of Mathematics-Cadi ayyad university-Marrakesh-Morocco
Abstract : In this paper, we consider a quasi-linear stochastic heat equation driven by an additive fractional white noise. Under the pathwise uniqueness property, we establish various strong stability results. As a consequence, we give an application to the convergence of the Picard successive approximation.
Keywords : Stochastic heat equation
MSC numbers : 60H15, 60G18
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