Title
Dynamics of parabolic equations via the finite element method I. Continuity of the set of equilibria
Date Issued
05 November 2016
Access level
metadata only access
Resource Type
journal article
Author(s)
Lozada-Cruz G.
Universidade Estadual Paulista
Publisher(s)
Academic Press Inc.
Abstract
In this paper we study the dynamics of parabolic semilinear differential equations with homogeneous Dirichlet boundary conditions via the discretization of finite element method. We provide an appropriate functional setting to treat this problem and, as a first step, we show the continuity of the set of equilibria and of its linear unstable manifolds.
Start page
5235
End page
5259
Volume
261
Issue
9
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-84992088522
Source
Journal of Differential Equations
ISSN of the container
00220396
Sponsor(s)
The authors would like to thank to anonymous referee for his/her suggestions which helped to improve this paper. Also, we would like to thank to Prof. Alexandre Nolasco de Carvalho (ICMC/ USP/Brazil) for suggesting us this problem. The first author was partially supported by FAPESP (Brazil) through the research grants 09/08088-9 and 13/21155-2 , and the second author was partially supported by FAPESP (Brazil) through the research grant 09/08435-0 .
Sources of information:
Directorio de Producción Científica
Scopus