| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Paraiba, Dept Math, BR-58059900 Joao Pessoa, Paraiba - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | PACIFIC JOURNAL OF MATHEMATICS; v. 266, n. 2, p. 257-282, DEC 2013. |
| Web of Science Citations: | 3 |
| Abstract | |
We study the rate of convergence of global attractors and eigenvalues of the family of dissipative semilinear wave equations with variable coefficients u(tt) + Lambda(epsilon)u + Lambda(delta)(epsilon)u(t) = f(u), where Lambda(epsilon) is the elliptic operator -div(a(epsilon)(x)del) with epsilon is an element of {[}0, 1] and sufficiently smooth coefficients a(epsilon), and where delta is an element of (1/2, 1) and the nonlinearity f is a continuously differentiable function satisfying suitable growth conditions. We show that the rate of convergence, as epsilon -> 0(+), of the global attractors of these problems, as well as of their eigenvalues, is proportional to the distance of the coefficients parallel to a(epsilon) - a(0)parallel to(L infinity(Omega)). (AU) | |
| FAPESP's process: | 11/04166-5 - Continuity of attractors to parabolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |