On weak interaction between a ground state and a trapping potential

Scipio Cuccagna, Masaya Maeda

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.

Original languageEnglish
Pages (from-to)3343-3376
Number of pages34
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume35
Issue number8
DOIs
Publication statusPublished - 2015 Aug 1

Keywords

  • Asymptotic stability
  • Ground states
  • Nonlinear Schrödinger equation

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

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