Article ID Journal Published Year Pages File Type
841281 Nonlinear Analysis: Theory, Methods & Applications 2009 10 Pages PDF
Abstract

A plate equation with critical exponent in locally uniform spaces with a coefficient β(x)β(x) belonging to the locally uniform spaces Llup(RN) is studied. This equation is shown to generate a dissipative semigroup in locally uniform spaces Ḣlu2(RN)×L̇lu2(RN), which possesses global attractors in weighted spaces Hρ2(RN)×Lρ2(RN).

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