Strichartz estimates for charge transfer models

Gong Chen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in R3. Following the idea of Strichartz estimates based on [3, 10], we also show that the energy of the whole evolution is bounded independently of time without using the phase space method, as for example, in [5]. One can easily generalize our arguments to Rn for n ≥ 3. We also discuss the extension of these results to matrix charge transfer models in R3.

Original languageEnglish
Pages (from-to)1201-1226
Number of pages26
JournalDiscrete and Continuous Dynamical Systems
Volume37
Issue number3
DOIs
StatePublished - Mar 2017

Keywords

  • Charge transfer model
  • Energy boundedness
  • Strichartz estimates

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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