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Local Smoothing for the Backscattering Transform

Beltita, Ingrid and Melin, Anders LU (2009) In Communications in Partial Differential Equations 34(3). p.233-256
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ultra-hyperbolic operator, Backscattering, Scattering matrix, Wave, equation
in
Communications in Partial Differential Equations
volume
34
issue
3
pages
233 - 256
publisher
Taylor & Francis
external identifiers
  • wos:000264344800002
  • scopus:69249113481
ISSN
0360-5302
DOI
10.1080/03605300902812384
language
English
LU publication?
yes
id
594150c8-2ab3-4d17-9f9c-f14814610568 (old id 1401881)
date added to LUP
2016-04-01 12:07:50
date last changed
2025-10-14 13:22:48
@article{594150c8-2ab3-4d17-9f9c-f14814610568,
  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.}},
  author       = {{Beltita, Ingrid and Melin, Anders}},
  issn         = {{0360-5302}},
  keywords     = {{Ultra-hyperbolic operator; Backscattering; Scattering matrix; Wave; equation}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{233--256}},
  publisher    = {{Taylor & Francis}},
  series       = {{Communications in Partial Differential Equations}},
  title        = {{Local Smoothing for the Backscattering Transform}},
  url          = {{http://dx.doi.org/10.1080/03605300902812384}},
  doi          = {{10.1080/03605300902812384}},
  volume       = {{34}},
  year         = {{2009}},
}