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Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains

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The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback… Click to show full abstract

The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong–Zakai approximations of stochastic degenerate parabolic equations. We then prove that the attractors of Wong–Zakai approximations converge to the attractor of stochastic degenerate parabolic equations driven by multiplicative white noise.

Keywords: stochastic degenerate; zakai approximations; parabolic equations; wong zakai; degenerate parabolic

Journal Title: Stochastics and Dynamics
Year Published: 2020

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