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- Beltita, Ingrid (author)
The quadratic contribution to the backscattering transform in the rotation invariant case
- Article/chapterEnglish2010
Publisher, publication year, extent ...
- American Institute of Mathematical Sciences (AIMS),2010
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- LIBRIS-ID:oai:lup.lub.lu.se:5c50b55c-2b76-406b-b61e-9cd12bdfad98
- https://lup.lub.lu.se/record/1720510URI
- https://doi.org/10.3934/ipi.2010.4.599DOI
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- Language:English
- Summary in:English
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- Considerations of the backscattering data for the Schrodinger operator H-v = -Delta + v in R-n, where n >= 3 is odd, give rise to an entire analytic mapping from C-0(infinity)(R-n) to C-0(infinity)(R-n), the backscattering transformation. The aim of this paper is to give formulas for B-2(v, w) where B-2 is the symmetric bilinear operator that corresponds to the quadratic part of the backscattering transformation and v and w are rotation invariant.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Backscattering transformation
- Born approximation
- spherical averages
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- Melin, AndersLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)math-ame (author)
- Matematik (naturvetenskapliga fakulteten)Matematikcentrum (creator_code:org_t)
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- In:Inverse Problems and Imaging: American Institute of Mathematical Sciences (AIMS)4:4, s. 599-6181930-83451930-8337
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