Estimates for the scattering map associated with a two-dimensional first-order system

R. M. Brown

doi:10.1007/s00332-001-0394-8

Estimates for the scattering map associated with a two-dimensional first-order system

R. M. Brown

Mathematics

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

22 Scopus citations

Abstract

Summary. We consider the scattering transform for the first-order system in the plane, (∂_x̄ 0 0 ∂_x) ψ - (0 q¹ q² 0) ψ = 0. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L².

Original language	English
Pages (from-to)	459-471
Number of pages	13
Journal	Journal of Nonlinear Science
Volume	11
Issue number	6
DOIs	https://doi.org/10.1007/s00332-001-0394-8
State	Published - 2001

Bibliographical note

Funding Information:
⁄ The author was supported in part by the National Science Foundation, Division of Mathematical Sciences.

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Applied Mathematics

Access to Document

10.1007/s00332-001-0394-8

Cite this

@article{354f9d93b40a43729dcdf9b31907dfca,

title = "Estimates for the scattering map associated with a two-dimensional first-order system",

abstract = "Summary. We consider the scattering transform for the first-order system in the plane, (∂{\=x} 0 0 ∂x) ψ - (0 q1 q2 0) ψ = 0. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L2.",

author = "Brown, {R. M.}",

note = "Funding Information: ⁄ The author was supported in part by the National Science Foundation, Division of Mathematical Sciences.",

year = "2001",

doi = "10.1007/s00332-001-0394-8",

language = "English",

volume = "11",

pages = "459--471",

number = "6",

}

TY - JOUR

T1 - Estimates for the scattering map associated with a two-dimensional first-order system

AU - Brown, R. M.

N1 - Funding Information: ⁄ The author was supported in part by the National Science Foundation, Division of Mathematical Sciences.

PY - 2001

Y1 - 2001

N2 - Summary. We consider the scattering transform for the first-order system in the plane, (∂x̄ 0 0 ∂x) ψ - (0 q1 q2 0) ψ = 0. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L2.

AB - Summary. We consider the scattering transform for the first-order system in the plane, (∂x̄ 0 0 ∂x) ψ - (0 q1 q2 0) ψ = 0. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L2.

UR - http://www.scopus.com/inward/record.url?scp=0042872733&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042872733&partnerID=8YFLogxK

U2 - 10.1007/s00332-001-0394-8

DO - 10.1007/s00332-001-0394-8

M3 - Article

AN - SCOPUS:0042872733

SN - 0938-8974

VL - 11

SP - 459

EP - 471

JO - Journal of Nonlinear Science

JF - Journal of Nonlinear Science

IS - 6

ER -

Estimates for the scattering map associated with a two-dimensional first-order system

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this