On the asymptotic behavior of solutions for Schrodinger type systems

• Grant number: 19/19311-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: January 01, 2020
• End date: July 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ademir Pastor Ferreira
• Grantee: Vicente Carlos Perez Alvarez
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We propose the study of asymptotic behavior of solutions associated to some nonlinear Schrödinger type systems. We will discuss questions concernig global well-posedness and the behabior of the solutions for large times. It is expected that solutions have one of the following behaviors: (i) similar to a solution of the linear problem; (ii) similar to a traveling wave; (iii) similar to a multi-soliton. Our main purpose is to invertigate questions related to (iii).

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ALVAREZ, Vicente Carlos Perez. On some special solutions for nonlinear Schrödinger-type systems. 2023. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.