Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Analysis of the Quadratic Term in the Backscattering Transformation

Beltita, Ingrid and Melin, Anders LU (2009) In Mathematica Scandinavica 105(2). p.218-234
Abstract
The quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions n >= 3 gives rise to a symmetric bilinear operator B-2 on C-0(infinity)(R-n) x C-0(infinity)(R-n). In this paper we prove that B-2 extends to certain Sobolev spaces with weights and show that it improves both regularity and decay.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematica Scandinavica
volume
105
issue
2
pages
218 - 234
publisher
Mathematica Scandinavica
external identifiers
  • wos:000272821400005
  • scopus:72549110141
ISSN
0025-5521
language
English
LU publication?
yes
id
ddc6b425-63e1-44fb-9e4f-97f80120f77c (old id 1532239)
date added to LUP
2016-04-01 14:50:30
date last changed
2025-01-04 06:05:04
@article{ddc6b425-63e1-44fb-9e4f-97f80120f77c,
  abstract     = {{The quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions n >= 3 gives rise to a symmetric bilinear operator B-2 on C-0(infinity)(R-n) x C-0(infinity)(R-n). In this paper we prove that B-2 extends to certain Sobolev spaces with weights and show that it improves both regularity and decay.}},
  author       = {{Beltita, Ingrid and Melin, Anders}},
  issn         = {{0025-5521}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{218--234}},
  publisher    = {{Mathematica Scandinavica}},
  series       = {{Mathematica Scandinavica}},
  title        = {{Analysis of the Quadratic Term in the Backscattering Transformation}},
  volume       = {{105}},
  year         = {{2009}},
}