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

Oussama El Barrimi|Youssef Ouknine
대한수학회 (The Korean Mathematical Society)|2019.05|대한수학회보 (Bulletin of the KMS)|제56권 제3호|pp. 631-648|DOI 10.4134/BKMS.b180445

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참고문헌

키워드

stochastic heat equationfractional noisepathwise uniqueness
주제분류수학

초록

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.

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.

참고문헌 (24)

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