| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Paraiba, CCEN, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
[3] Univ Fed Campina Grande, CCT, UAME, BR-58109970 Campina Grande, PB - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 396, n. 2, p. 590-600, DEC 15 2012. |
| Web of Science Citations: | 8 |
| Abstract | |
In this paper, we are concerned with some aspects of the asymptotic behavior of the dynamical system generated by evolution equations with nonlocal terms of the type partial derivative u(x, t)/partial derivative t = -u(x, t) + g (beta(Ku)(x, t)), x is an element of Omega, t > 0 where Omega subset of R-N, beta > 0, N >= 1 is a bounded smooth domain and K is an integral operator with symmetric kernel (Ku)(x) := integral(RN)J(x, y)u(y)dy. (C) 2012 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 11/04166-5 - Continuity of attractors to parabolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 03/10042-0 - Nonlinear dynamical systems and applications |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | PRONEX Research - Thematic Grants |