Local Smoothing for the Backscattering Transform
(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:
https://lup.lub.lu.se/record/1401881
- author
- Beltita, Ingrid and Melin, Anders LU
- organization
- publishing date
- 2009
- 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
- 2022-01-26 23:14:05
@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}}, }