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Local Smoothing for the Backscattering Transform

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Author

Summary, in English

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.

Publishing year

2009

Language

English

Pages

233-256

Publication/Series

Communications in Partial Differential Equations

Volume

34

Issue

3

Document type

Journal article

Publisher

Taylor & Francis

Topic

  • Mathematics

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 0360-5302