| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB - Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 20, n. 6, p. 2257-2277, JUN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation utt - mu (t)Delta u + omega (t)ut = f (u), x is an element of Omega, t is an element of R, subject to Dirichlet boundary condition on partial derivative Omega, where Omega is a bounded smooth domain in RN, N >= 3, the function omega is a time-dependent damping, mu is a time-dependent squared speed of propagation, and f is a nonlinear functional. Under structural assumptions on omega and mu we establish the existence of time dependent attractor for the fractional models in the sense of Carvalho, Langa, Robinson {[}6], and Di Plinio, Duane, Temam {[}10]. <comment>Superscript/Subscript Available</comment (AU) | |
| FAPESP's process: | 17/06582-2 - Asymptotic behavior for non-autonomous semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |