Some stability results for semilinear stochastic heat equation driven by a fractional noise
Bull. Korean Math. Soc. 2019 Vol. 56, No. 3, 631-648
https://doi.org/10.4134/BKMS.b180445
Published online May 31, 2019
Oussama El Barrimi, Youssef Ouknine
Cadi Ayyad University; Mohammed VI polytechnic University
Abstract : In this paper, we consider a semilinear 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, fractional noise, pathwise uniqueness
MSC numbers : 60H15, 60G18
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