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This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth… Click to show full abstract
This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate. By showing the pullback asymptotic compactness of the stochastic dynamic systems, we prove the existence of a random attractor in H 0 1 × L 2 $H_{0}^{1}\times L^{2}$ .
Keywords:
autonomous stochastic;
non autonomous;
nonlinear damping;
stochastic wave;
white noise
Journal Title: Advances in Difference Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Advances in Difference Equations
Year Published: 2020
Link to full text (if available)
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recommendations!