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 language | English |
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Pages (from-to) | 85-106 |
Number of pages | 22 |
Journal | Journal of Functional Analysis |
Volume | 271 |
Issue number | 1 |
DOIs | |
State | Published - 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