Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on Rn
Document Type
Article
Publication Date
2015
Keywords
stochastic wave equations, random dynamical system, random attractor, pullback asymptotic compactness, additive noise, arbitrary nonlinear exponents, unbounded domain
Digital Object Identifier (DOI)
https://doi.org/10.4310/DPDE.2015.v12.n4.a3
Abstract
Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on Rn is investigated. The existence of a pullback random attractor is proved in a parameter region with a breakthrough in proving the pullback asymptotic compactness of the cocycle with the quasi-trajectories defined on the integrable function space of arbitrary exponent and on an unbounded domain of arbitrary space dimension.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Dynamics of Partial Differential Equations, v. 12, issue 5, p. 343-378
Scholar Commons Citation
Li, Hongyan and You, Yuncheng, "Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on Rn" (2015). Mathematics and Statistics Faculty Publications. 124.
https://digitalcommons.usf.edu/mth_facpub/124
