| Full text | |
| Author(s): |
Figueroa-Lopez, Rodiak
;
Lozada-Cruz, German
Total Authors: 2
|
| Document type: | Journal article |
| Source: | APPLIED MATHEMATICS & INFORMATION SCIENCES; v. 8, n. 2, p. 8-pg., 2014-03-01. |
| Abstract | |
This paper is devoted to study the existence of global attractor in H-0(1)(Omega) and uniform bounds of it in L-infinity(Omega) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the domain Omega subset of R-n. The main tools used to prove the existence of global attractor are the techniques used in Hale [8] and Cholewa [5], and for the uniform bound of the attractor we use the Alikakos-Moser iteration procedure [1]. (AU) | |
| FAPESP's process: | 09/08088-9 - Continuity of attractors for the discretization of parabolic problems using finite element method |
| Grantee: | Rodiak Nicolai Figueroa López |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 09/08435-0 - Rate of convergence of attractors for the discretization of differential equations of parabolic type using the method of finite elements |
| Grantee: | German Jesus Lozada Cruz |
| Support Opportunities: | Regular Research Grants |