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Analysis of the Quadratic Term in the Backscattering Transformation

På svenska

Author

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.

Publishing year

2009

Language

English

Pages

218-234

Publication/Series

Mathematica Scandinavica

Volume

105

Issue

2

Document type

Journal article

Publisher

Matematisk Institut

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0025-5521