Hyperbolic Relaxation of a Fourth Order Evolution Equation

Renato Colucci and Gerardo R. Chacón

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term ηutt, where η ∈ (0, 1]. We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in H4(I)×{H2(I)∩H01(I)}.

Date: 2013
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https://doi.org/10.1155/2013/372726

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:372726

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