Scholarship 24/14685-0 - Atratores, Comportamento assintótico - BV FAPESP
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Attractors for multivalued semigroups and processes and applications to abstract differential equations withstate-dependent delay

Grant number: 24/14685-0
Support Opportunities:Scholarships in Brazil - Support Program for Fixating Young Doctors
Start date until: September 01, 2024
End date until: August 31, 2025
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Agreement: CNPq
Principal Investigator:Alexandre Nolasco de Carvalho
Grantee:Denis Fernandes da Silva
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:24/01796-8 - Attractors for multivalued semigroups and processes and applications to abstract differential equations with state-dependent delay, AP.R

Abstract

This project aims primarily at investigating the existence and qualitative properties of attractors formultivalued semigroups and evolution processes, as well as their applications on the study of theasymptotic behavior of global solutions to abstract differential equations with state-dependent delay. In theautonomous context, our goal is to construct an exponential attractor for the multivalued semigroupgenerated by global solutions of a general class of abstract equations with state-dependent delay. For thenon-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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