| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan - Peoples R China
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[3] Univ Estadual Maringa, Dept Ciencias, Campus Reg Goioere, BR-87360000 Goioere, PR - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 40, n. 3, p. 1937-1961, MAR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper is concerned with the long-time behavior for a class of non-autonomous plate equations with perturbation and strong damping of p-Laplacian type u(tt) + Delta(2)u + alpha(epsilon)(t)u(t) - Delta(p)u - Delta u(t) + f(u) = g(x,t), in bounded domain Omega subset of R-N with smooth boundary and critical nonlinear terms. The global existence of weak solution which generates a continuous process has been presented firstly, then the existence of strong and weak uniform attractors with non-compact external forces also derived. Moreover, the upper-semicontinuity of uniform attractors under small perturbations has also obtained by delicate estimate and contradiction argument. (AU) | |
| FAPESP's process: | 17/06582-2 - Asymptotic behavior for non-autonomous semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |