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

Producción científica: Article › revisión exhaustiva

22 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	459-471
Número de páginas	13
Publicación	Journal of Nonlinear Science
Volumen	11
N.º	6
DOI	https://doi.org/10.1007/s00332-001-0394-8
Estado	Published - 2001

Nota bibliográfica

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

Financiación

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

Financiadores
National Science Foundation (NSF)
Division of Mathematical Sciences

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Applied Mathematics

Acceder al documento

10.1007/s00332-001-0394-8

Otros archivos y enlaces

Citar esto

@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 - 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

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto