Research Grants 24/01796-8 - Atratores, Comportamento assintótico - BV FAPESP
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Attractors for multivalued semigroups and processes and applications to abstract differential equations with state-dependent delay

Abstract

This project aims primarily at investigating the existence and qualitative properties of attractors for multivalued semigroups and evolution processes, as well as their applications on the study of the asymptotic behavior of global solutions to abstract differential equations with state-dependent delay. In the autonomous context, our goal is to construct an exponential attractor for the multivalued semigroup generated by global solutions of a general class of abstract equations with state-dependent delay. For the non-autonomous case, we will analyze the existence and qualitative properties of attractors (pullback, uniform, and exponential) for the resulting multivalued evolution process. (AU)

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