Action of a scattering map on weighted Sobolev spaces in the plane

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5 Scopus citations

Abstract

We consider a scattering map that arises in the ∂- approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map between certain weighted L2 Sobolev spaces.

Original languageEnglish
Pages (from-to)85-106
Number of pages22
JournalJournal of Functional Analysis
Volume271
Issue number1
DOIs
StatePublished - Jul 1 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

  • Brascamp-Lieb forms
  • Davey-Stewartson equation
  • Inverse scattering
  • ∂--method

ASJC Scopus subject areas

  • Analysis

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