
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.
stochastic parabolic equations, Hilbert space, QA1-939, stochastic parabolic equations; initial-boundary problems; Hilbert space; stability, initial-boundary problems, stability, Mathematics
stochastic parabolic equations, Hilbert space, QA1-939, stochastic parabolic equations; initial-boundary problems; Hilbert space; stability, initial-boundary problems, stability, Mathematics
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