Asymptotic behavior of a reaction-diffusion problem with delay and reaction term concentrated in the boundary
DOI:
https://doi.org/10.11606/issn.2316-9028.v5i2p347-376Abstract
In this work we analyze the asymptotic behavior of the solutions of a reaction-diffusion problem with delay when the reaction term is concentrated in a neighborhood of the boundary and this neighborhood shrinks to boundary, as a parameter
goes to zero. This analysis of the asymptotic behavior uses, as a main tool, the convergence result found in [3]. Here, we prove the existence of a family of global attractors and that this family is upper semicontinuous at = 0. We also prove the continuity of the set of equilibria at = 0.
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Published
2011-12-30
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How to Cite
Asymptotic behavior of a reaction-diffusion problem with delay and reaction term concentrated in the boundary. (2011). The São Paulo Journal of Mathematical Sciences, 5(2), 347-376. https://doi.org/10.11606/issn.2316-9028.v5i2p347-376