학술논문
Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise.
Document Type
Article
Author
Source
Subject
*WHITE noise
*NONLINEAR wave equations
*ATTRACTORS (Mathematics)
*WAVE equation
*STOCHASTIC systems
*DYNAMICAL systems
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Language
ISSN
1687-1839
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 . [ABSTRACT FROM AUTHOR]