Article ID Journal Published Year Pages File Type
839022 Nonlinear Analysis: Real World Applications 2009 4 Pages PDF
Abstract

In this short paper we establish the existence of a global attractor for the strongly damped wave equation with a nonlinearity of critical growth, which is bounded in H2(Ω)×H2(Ω)H2(Ω)×H2(Ω) and attracts every H01(Ω)×L2(Ω)-bounded set with respect to the H01(Ω)×H01(Ω) norm.

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Physical Sciences and Engineering Engineering Engineering (General)
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Attractors for strongly damped wave equations
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