On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

A. Kh Khanmamedov

doi:10.1080/00036810903277085

On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

A. Kh Khanmamedov

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H²(Ω) ∩ H₀¹ (Ω) × H₀¹ (Ω). We also show that under additional conditions this attractor is sufficiently regular.

Original language	English
Pages (from-to)	1283-1301
Number of pages	19
Journal	Applicable Analysis
Volume	88
Issue number	9
DOIs	https://doi.org/10.1080/00036810903277085
Publication status	Published - Sept 2009

Keywords

Attractors
Wave equations

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10.1080/00036810903277085

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abstract = "We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H2(Ω) ∩ H01 (Ω) × H01 (Ω). We also show that under additional conditions this attractor is sufficiently regular.",

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AB - We prove the existence of a global attractor for the 2-D wave equation with nonlinear damping in H2(Ω) ∩ H01 (Ω) × H01 (Ω). We also show that under additional conditions this attractor is sufficiently regular.

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KW - Wave equations

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On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

Abstract

Keywords

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