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.

Funding

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

Funders
National Science Foundation (NSF)
Division of Mathematical Sciences

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Applied Mathematics

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10.1007/s00332-001-0394-8

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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.",

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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 - https://www.scopus.com/pages/publications/0042872733

UR - https://www.scopus.com/pages/publications/0042872733#tab=citedBy

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

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ASJC Scopus subject areas

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