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Pullback attractors for nonautonomous difusion equations with delay

Grant number: 18/02478-9
Support type:Scholarships in Brazil - Master
Effective date (Start): May 01, 2018
Effective date (End): February 29, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Marcelo José Dias Nascimento
Grantee:Izabella Durante Temporini Furtado
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The objective of this master's degree project is mainly focused on the study of non-autonomous parabolic partial differential equations. Let us consider semilinear partial differential equations, involving an unbounded operator (which explicitly depends on time $t$) that is an infinitesimal generator of an analytic semigroup. We will study the existence results of pullback attractor for the class of problems described above. Additionally, we intend to apply the abstract results to study the exponential decay of the solutions of non-autonomous diffusion equations with delay. (AU)