| Full text | |
| Author(s): |
Figueroa-Lopez, R. N.
;
Lozada-Cruz, G.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 261, n. 9, p. 5235-5259, NOV 5 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper we study the dynamics of parabolic semilinear differential equations with homogeneous Dirichlet boundary conditions via the discretization of finite element method. We provide an appropriate functional setting to treat this problem and, as a first step, we show the continuity of the set of equilibria and of its linear unstable manifolds. (C) 2016 Elsevier Inc. All rights reserved. (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 |
| FAPESP's process: | 13/21155-2 - Continuity of pullback attractors for nonauntonomous parabolic problems using the finite element method |
| Grantee: | Rodiak Nicolai Figueroa López |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |