Dimension of the attractors associated to autonomous and nonautonomous dynamical s...
| Full text | |
| Author(s): |
Pereira, Marcone C.
Total Authors: 1
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| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 14, n. 4, p. 10-pg., 2013-08-01. |
| Abstract | |
We are concerned with the asymptotic behavior of a dynamical system generated by a family of semilinear parabolic systems with reaction and potential terms concentrating in a neighborhood of a portion of the boundary. Assuming that this neighborhood shrinks to this section as a parameter E goes to zero, we exhibit the limit problem and show continuity of the flux as well as upper and lower semicontinuity of the family of global attractors with respect to e using an appropriated functional setting on suitable conditions for the system. It is worth noting that oscillatory behavior to the neighborhood as e goes to zero is also allowed providing a large range of applications. (c) 2013 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 10/18790-0 - Asymptotic behavior and geometric of partial differential equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |