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Perturbation of domains and asymptotic behavior for boundary value problems

Grant number: 16/02150-8
Support type:Regular Research Grants
Duration: August 01, 2016 - July 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Antonio Luiz Pereira
Grantee:Antonio Luiz Pereira
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Our goal is to analyse some questions related to the asymptotic behavior ofinfinite dimensional dynamical systems, generated by boundary value problems of P.D.Esand integro-differential equations with non-local terms. Among these questions, weemphazise the existence and continuity of global attractors with respect to perturbationsof the domains, the study of the bifurcations for a class of equations with non-local termsand generic properties for boundary value problems. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DA SILVA, SEVERINO HORACIO; PEREIRA, ANTONIO LUIZ. A GRADIENT FLOW GENERATED BY A NONLOCAL MODEL OF A NEURAL FIELD IN AN UNBOUNDED DOMAIN. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 51, n. 2, p. 583-598, JUN 2018. Web of Science Citations: 1.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.