Attractors for non autonomous evolution problems

• Grant number: 14/19437-2
• Support Opportunities: Scholarships abroad - Research
• Start date: March 01, 2015
• End date: February 24, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Cláudia Buttarello Gentile Moussa
• Grantee: Cláudia Buttarello Gentile Moussa
• Host Investigator: Martin Rasmussen
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Imperial College London, England

Abstract

The central idea of this project is to study the pullback and forward attraction for multivalued non-autonomous evolution problems with monotone principal part and extend the existent theory which predominantly focuses today univalued and semilinear problems. We intend to achieve knowledge about the internal dynamics of the attractors, to analyses their dimension and study questions which are related with the continuity of attractors, and then apply the results to problems governed by p-Laplacian operator. (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)

GENTILE MOUSSA, CLAUDIA B.. Invariant measures for multivalued semigroups. Journal of Mathematical Analysis and Applications, v. 455, n. 2, p. 1234-1248, NOV 15 2017. (14/19437-2)

SAMPROGNA, R. A.; SCHIABEL, K.; GENTILE MOUSSA, C. B.. Pullback Attractors for Multivalued Processes and Application to Nonautonomous Problems with Dynamic Boundary Conditions. Set-Valued and Variational Analysis, v. 27, n. 1, p. 19-50, MAR 2019. (14/19437-2)