Topological Structural Stability of Partial Differential Equations on Projected Spaces
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Data
2018-06-01
Autores
Aragão-Costa, E. R.
Figueroa-López, R. N. [UNESP]
Langa, J. A.
Lozada-Cruz, G. [UNESP]
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Resumo
In this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization of global attractors for projected Banach spaces, generalizing previous results for small perturbations of partial differential equations. We apply the results to an abstract semilinear equation with Dumbbell type domains and to an abstract evolution problem discretized by the finite element method.
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Palavras-chave
Attractors, Dumbbell domains, Gradient semigroups, Structural stability
Como citar
Journal of Dynamics and Differential Equations, v. 30, n. 2, p. 687-718, 2018.