| Full text | |
| Author(s): |
Barbosa, Pricila S.
;
Pereira, Antonio L.
;
Pereira, Marcone C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Annali di Matematica Pura ed Applicata; v. 196, n. 4, p. 1365-1398, AUG 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider here the family of semilinear parabolic problems [u(t) (x, t) = Delta u( x, t) - au (x, t) + f (u (x, t)), x is an element of Omega(epsilon) and t > 0, partial derivative u/partial derivative N (x, t) = g(u( x, t)), x is an element of partial derivative Omega(epsilon) and t > 0, where Omega is the unit square, Omega(epsilon) = h(epsilon) ( Omega ), and h(epsilon) is a family of diffeomorphisms converging to the identity in the C-1- norm. We show that the problem is well posed for epsilon > 0 sufficiently small in a suitable phase space, the associated semigroup has a global attractor A(epsilon) , and the family [A(epsilon)](epsilon) >= 0 is continuous at epsilon = 0. (AU) | |
| FAPESP's process: | 13/22275-1 - Dynamical systems given by semilinear parabolic equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |