Strong Global Attractors for 3D Wave Equations with Weakly Damping
| Autor: | Fengjuan Meng |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2012 (2012) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2012/469382 |
| Popis: | 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). |
| Databáze: | Directory of Open Access Journals |
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