| Autor: |
Marcelo M. Cavalcanti, Valeria N. Domingos Cavalcanti, Juan A. Soriano, Joel S. Souza |
| Jazyk: |
angličtina |
| Rok vydání: |
2004 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2004, Iss 55, Pp 1-19 (2004) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article we study the homogenization and uniform decay of the nonlinear hyperbolic equation $$ partial_{tt} u_{varepsilon} -Delta u_{varepsilon} +F(x,t,partial_t u_{varepsilon}, abla u_{varepsilon})=0 quadhbox{in }Omega_{varepsilon}imes(0,+infty) $$ where $Omega_{varepsilon}$ is a domain containing holes with small capacity (i. e. the holes are smaller than a critical size). The homogenization's proofs are based on the abstract framework introduced by Cioranescu and Murat [8] for the study of homogenization of elliptic problems. Moreover, uniform decay rates are obtained by considering the perturbed energy method developed by Haraux and Zuazua [10]. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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