Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance

Takayoshi Ogawa, Kota Uriya

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We consider the asymptotic behavior of a solution to a quadratic nonlinear Schrödinger system in two space dimensions. We construct a particular solution which describes the charge dissipation phenomenon in spite of the mass preserving structure of the system. This is a consequence of a new explicit solution to a system of ordinary differential equation which approximates asymptotic behavior of a solution to the system.

Original languageEnglish
Pages (from-to)483-503
Number of pages21
JournalJournal of Differential Equations
Volume258
Issue number2
DOIs
Publication statusPublished - 2015

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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