Shadowing and hyperbolicity for quasilinear parabolic problems

• Grant number: 22/02172-2
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: January 09, 2023
• End date: January 08, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Carlos Roberto Takaessu Junior
• Supervisor: José María Arrieta Algarra
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidad Complutense de Madrid (UCM), Spain
• Associated to the scholarship: 20/14353-6 - Hyperbolicity for quasilinear parabolic problems, BP.DR

Abstract

In this project we propose to study qualitative properties of solutions of quasi-linear problems. We are particularly interested in the study of shadowing and the saddle point property (for autonomous or non-autonomous problems) under very general conditions that include mathematical models of relevant practical problems and that do not satisfy the locally semilinear conditions usually imposed in the existing results. (AU)