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

R. M. Brown; K. A. Ott; P. A. Perry

doi:10.1016/j.jfa.2016.03.019

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

R. M. Brown, K. A. Ott, P. A. Perry

Mathematics

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	85-106
Number of pages	22
Journal	Journal of Functional Analysis
Volume	271
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2016.03.019
State	Published - Jul 1 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Funding

Funders	Funder number
Not added	1201104

Keywords

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

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2016.03.019

Cite this

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title = "Action of a scattering map on weighted Sobolev spaces in the plane",

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.",

keywords = "Brascamp-Lieb forms, Davey-Stewartson equation, Inverse scattering, ∂--method",

author = "Brown, \{R. M.\} and Ott, \{K. A.\} and Perry, \{P. A.\}",

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year = "2016",

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doi = "10.1016/j.jfa.2016.03.019",

language = "English",

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AU - Brown, R. M.

AU - Ott, K. A.

AU - Perry, P. A.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - Brascamp-Lieb forms

KW - Davey-Stewartson equation

KW - Inverse scattering

KW - ∂--method

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M3 - Article

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VL - 271

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

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

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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