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

R. M. Brown

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Summary. We consider the scattering transform for the first-order system in the plane, (∂ 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 languageEnglish
Pages (from-to)459-471
Number of pages13
JournalJournal of Nonlinear Science
Volume11
Issue number6
DOIs
StatePublished - 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

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