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On the asymptotic behavior of solutions for Schrödinger type systems

Grant number: 19/19311-2
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): January 01, 2020
Effective date (End): July 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Ademir Pastor Ferreira
Grantee:Vicente Carlos Perez Alvarez
Home 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). (AU)

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