Local Smoothing for the Backscattering Transform

Ingrid Beltita, Anders Melin

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)

Abstract

An analysis of the backscattering data for the Schrodinger operator in odd dimensions n3 motivates the introduction of the backscattering transform [image omitted]. This is an entire analytic mapping and we write [image omitted] where BNv is the Nth order term in the power series expansion at v=0. In this paper we study estimates for BNv in H(s) spaces, and prove that Bv is entire analytic in vH(s)E' when s(n-3)/2.
Original languageEnglish
Pages (from-to)233-256
JournalCommunications in Partial Differential Equations
Volume34
Issue number3
DOIs
Publication statusPublished - 2009

Subject classification (UKÄ)

  • Mathematics

Keywords

  • Ultra-hyperbolic operator
  • Backscattering
  • Scattering matrix
  • Wave
  • equation

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