Strong Global Attractors for 3D Wave Equations with Weakly Damping

Fengjuan Meng

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We consider the existence of the global attractor 𝒜1 for the 3D weakly damped wave equation. We prove that 𝒜1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω). Furthermore, this attractor coincides with the global attractor in the weak energy space H01(Ω)×L2(Ω).

Date: 2012
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https://doi.org/10.1155/2012/469382

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:469382

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