Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in H1,1(ℂ)

Peter A. Perry, Michael Christ

Research output: Contribution to journalReview articlepeer-review

25 Scopus citations

Abstract

We use the ∂-inverse scattering method to obtain global well-posedness and large-time asymptotics for the defocussing Davey-Stewartson II equation. We show that these global solutions are dispersive by computing their leading asymptotic behavior as t → ∞ in terms of an associated linear problem. These results appear to be sharp.

Original languageEnglish
Pages (from-to)429-481
Number of pages53
JournalJournal of Spectral Theory
Volume6
Issue number3
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© European Mathematical Society.

Keywords

  • Davey-Stewartson equation
  • Inverse scattering
  • ∂-method

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in H1,1(ℂ)'. Together they form a unique fingerprint.

Cite this