Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions | Zendy

Sandhu Jan | Zendy; Serov Valery | Zendy

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Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions

Author(s) -

Sandhu Jan,

Serov Valery

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2920

Subject(s) - mathematics , smoothness , born approximation , quadratic equation , series (stratigraphy) , term (time) , nonlinear system , mathematical analysis , operator (biology) , inverse , space (punctuation) , inverse scattering problem , inverse problem , mathematical physics , scattering , physics , quantum mechanics , geometry , paleontology , biochemistry , chemistry , linguistics , philosophy , repressor , gene , transcription factor , biology

The inverse backscattering Born approximation is studied for the three‐dimensional magnetic Schrödinger operator. Under the assumption that the Born series converges in the weighted spaceL − δ 2R 3, we calculate precisely the linear term and the first nonlinear (quadratic) term of this Born series. The estimation of smoothness of the first nonlinear term is also presented. Copyright © 2013 John Wiley & Sons, Ltd.

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