| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 37, n. 5, p. 663-675, MAR 30 2014. |
| Web of Science Citations: | 1 |
| Abstract | |
A damped hyperbolic equation with a dissipative nonlinearity posed in the energy space H01(omega)xL2(omega) is considered. The differential operator involved is not the Laplace operator but rather the operator - div(a(epsilon)(x) backward difference ( center dot )) that has its coefficient depending on a parameter epsilon. We analyze the behavior of the global attractors as the parameter epsilon tends to 0. It is assumed that the coefficient a(epsilon)(x) has a well determined behavior with the parameter, and the idea is to relate the distance of the global attractors with the magnitude a(epsilon) - a(0), measured in an appropriate norm. Copyright (c) 2013 John Wiley \& Sons, Ltd. (AU) | |
| FAPESP's process: | 11/04166-5 - Continuity of attractors to parabolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |