| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Ricardo Palma, Fac Engn, Lima - Peru
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 4, p. 2219-2233, APR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R-3 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 contribution 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 existence of generalized exponential attractors. These aspects were not previously considered for wave equations with localized damping. (AU) | |
| FAPESP's process: | 19/11824-0 - Dynamics of semilinear wave equations with localized damping |
| Grantee: | Ma To Fu |
| Support Opportunities: | Regular Research Grants |