Title
Topological Structural Stability of Partial Differential Equations on Projected Spaces
Date Issued
01 June 2018
Access level
open access
Resource Type
journal article
Author(s)
Universidade Estadual Paulista
Publisher(s)
Springer New York LLC
Abstract
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.
Start page
687
End page
718
Volume
30
Issue
2
Language
English
OCDE Knowledge area
Ingeniería, Tecnología
Ingeniería civil
Subjects
Scopus EID
2-s2.0-85007492387
Source
Journal of Dynamics and Differential Equations
ISSN of the container
10407294
Sponsor(s)
The authors would like to thank the referee for his/her valuable suggestions. Parts of this work were made when the second author visited the Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Seville, Spain. E.R. Aragão-Costa was partially supported by Grant: 2014/02899-3, São Paulo Research Foundation (FAPESP), Brazil. R.N. Figueroa-López was partially supported by research Grants #2014/19915-1 and #2013/21155-2, São Paulo Research Foundation (FAPESP). G. Lozada-Cruz was partially supported by research Grants #2015/24095-6 and #2009/08435-0, São Paulo Research Foundation (FAPESP). J.A. Langa has been partially supported by Junta de Andalucía under Proyecto de Excelencia FQM-1492, Project MTM2015-63723-P, and Brazilian-European partnership in Dynamical Systems (BREUDS) from the FP7-IRSES Grant of the European Union.
Sources of information:
Directorio de Producción Científica
Scopus