Attractors for semilinear wave equations with localizad damping and external forces
This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R3 with cubic nonlinear terms and locally distributed damping. The existence of regular finite-dimensional global attractors established by Chueshov, Lasiecka and Toundykov (2008) reflects a go...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/142228 |
| Acceso en línea: | https://hdl.handle.net/11441/142228 https://doi.org/10.3934/cpaa.2020097 |
| Access Level: | acceso abierto |
| Palabra clave: | Locally distributed damping critical exponent continuity of attractor upper-semicontinuity generalized exponential attractor |
| Sumario: | This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R3 with cubic nonlinear terms and locally distributed damping. The existence of regular finite-dimensional global attractors established by Chueshov, Lasiecka and Toundykov (2008) reflects a good deal of the current state of the art on this matter. Our con tribution is threefold. First, we prove uniform boundedness of attractors with respect to a forcing parameter. Then, we study the continuity of attractors with respect to the parameter in a residual dense set. Finally, we show the exis tence of generalized exponential attractors. These aspects were not previously considered for wave equations with localized damping. |
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