| Texto completo | |
| Autor(es): |
Caballero, Ruben
;
Kalita, Piotr
;
Valero, Jose
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 24, n. 3, p. 24-pg., 2024-10-24. |
| Resumo | |
. In this paper, we study the structure of the global attractor for weak and regular solutions of a problem governed by a scalar semilinear reactiondiffusion equation with a non-regular nonlinearity, such that uniqueness of solutions can fail to happen. First, using the Moser-Alikakos iterations we obtain the estimates of the weak solutions in the space L infinity (Omega). After that, using these estimates we improve the existing results on the structure of the attractor. Finally, estimates of the Hausdorff and fractal dimension of the attractor are obtained. (AU) | |
| Processo FAPESP: | 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação |
| Beneficiário: | Alexandre Nolasco de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |