Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

Gong Chen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in R3 and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate 1〈x〉 , some refined estimates for the charge transfer model are also established.

Original languageEnglish
Pages (from-to)45-82
Number of pages38
JournalCommunications in Mathematical Physics
Volume364
Issue number1
DOIs
StatePublished - Nov 1 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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