Obstacle problems for non local evolution equations

• Grant number: 15/17702-3
• Support Opportunities: Scholarships abroad - Research
• Start date: March 01, 2016
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcone Corrêa Pereira
• Grantee: Marcone Corrêa Pereira
• Host Investigator: Julio Daniel Rossi
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Universidad de Buenos Aires (UBA), Argentina

Abstract

In this project we consider an obstacle problem to a class of non local evolution equations. We study existence of solutions, regularity and regularity. We also intend to investigate the relationship between parabolic problems and these ones as asymptotic limits. Finally we note that we are mainly interested in non local problems in time and space.

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)

PEREIRA, MARCONE C.; ROSSI, JULIO D.. Nonlocal problems in perforated domains. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. 150, n. 1, p. 305-340, FEB 2020. (15/17702-3, 17/02630-2)

PEREIRA, MARCONE C.; ROSSI, JULIO D.. An Obstacle Problem for Nonlocal Equations in Perforated Domains. POTENTIAL ANALYSIS, v. 48, n. 3, p. 361-373, APR 2018. (15/17702-3)