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Attractors for non autonomous evolution problems

Grant number: 14/19437-2
Support Opportunities:Scholarships abroad - Research
Effective date (Start): March 01, 2015
Effective date (End): 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
Research place: Imperial College London, England  


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)

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

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