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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Topological Structural Stability of Partial Differential Equations on Projected Spaces

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Author(s):
Aragao-Costa, E. R. [1] ; Figueroa-Lopez, R. N. [2] ; Langa, J. A. [3] ; Lozada-Cruz, G. [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Sao Carlos, SP - Brazil
[2] Univ Estadual Paulista UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Paulo - Brazil
[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Seville - Spain
Total Affiliations: 3
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 30, n. 2, p. 687-718, JUN 2018.
Web of Science Citations: 0
Abstract

In this paper we study topological structural stability for a family of nonlinear semigroups on Banach space 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. (AU)

FAPESP's process: 14/02899-3 - Global solvability for differential complexes and converse to the theorem of the existence of Lyapunov function to gradient-like evolution process
Grantee:Éder Ritis Aragão Costa
Support Opportunities: Regular Research Grants
FAPESP's process: 15/24095-6 - Dynamics of reaction-diffusion equations in dumbbell domains under the spatial discretization
Grantee:German Jesus Lozada Cruz
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 14/19915-1 - Asymptotic dynamics of non-autonomous parabolic problems under discretization. structure of attractors
Grantee:Rodiak Nicolai Figueroa López
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 13/21155-2 - Continuity of pullback attractors for nonauntonomous parabolic problems using the finite element method
Grantee:Rodiak Nicolai Figueroa López
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 09/08435-0 - Rate of convergence of attractors for the discretization of differential equations of parabolic type using the method of finite elements
Grantee:German Jesus Lozada Cruz
Support Opportunities: Regular Research Grants