Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2019; 56(3): 631-648

Online first article October 29, 2018      Printed May 31, 2019

https://doi.org/10.4134/BKMS.b180445

Copyright © The Korean Mathematical Society.

Some stability results for semilinear stochastic heat equation driven by a fractional noise

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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