Stability of Stochastic Partial Differential Equations

Ashyralyev A. Okur Ü.
July 2023 Multidisciplinary Digital Publishing Institute (MDPI)

Axioms
2023 #12 Issue 7

In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a Hilbert space. For the solution of the initial-boundary value problems (IBVPs), we obtain the stability estimates for stochastic parabolic equations with dependent coefficients in specific applications.

Hilbert space , initial-boundary problems , stability , stochastic parabolic equations

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Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Department of Mathematics, Peoples’ Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Near East University Nicosia, TRNC, Mersin 10, Nicosia, 99138, Turkey

Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics

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