Analysis of the Quadratic Term in the Backscattering Transformation
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2009
Språk
Engelska
Sidor
218-234
Publikation/Tidskrift/Serie
Mathematica Scandinavica
Volym
105
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Matematisk Institut
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0025-5521