Strichartz estimates for charge transfer models

Gong Chen

Research output: Contribution to journalArticlepeer-review

5 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

Fingerprint

Dive into the research topics of 'Strichartz estimates for charge transfer models'. Together they form a unique fingerprint.

Cite this