| Full text | |
| Author(s): |
Caballero, Ruben
;
Kalita, Piotr
;
Valero, Jose
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 24, n. 3, p. 24-pg., 2024-10-24. |
| Abstract | |
. 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) | |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |