Perturbation of domains and asymptotic behavior for boundary value problems

• Grant number: 16/02150-8
• Support Opportunities: Regular Research Grants
• Duration: August 01, 2016 - July 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Antonio Luiz Pereira
• Grantee: Antonio Luiz Pereira
• Host 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)

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. (16/02150-8)

BARBOSA, PRICILA S.; PEREIRA, ANTONIO L.. CONTINUITY OF ATTRACTORS FOR C-1 PERTURBATIONS OF A SMOOTH DOMAIN. Electronic Journal of Differential Equations, v. N/A, p. 31-pg., 2020-09-21. (16/02150-8)