| Author(s): |
Ma, To Fu
;
Souza, Thales Maier
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 30, n. 5-6, p. 443-462, MAY-JUN 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
This paper is concerned with a class of wave equations with acoustic boundary condition subject to non-autonomous external forces. Under some general assumptions, the problem generates a well-posed evolution process. Then, we establish the existence of a minimal pull-back attractor within a universe of tempered sets defined by the forcing terms. We also, study the upper semicontinuity of attractors as the non-autonomous perturbation tends to zero. Our results allow unbounded external forces and nonlinearities with critical growth. (AU) | |
| FAPESP's process: | 13/04648-5 - Non-autonomous equations in hyperbolic thermoelasticity |
| Grantee: | Thales Maier de Souza |
| Support Opportunities: | Scholarships in Brazil - Doctorate |