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A uniqueness result for one-dimensional inverse scattering

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Author

Summary, in English

We consider the whole-line inverse scattering problem for Sturm-Liouville equations which have constant coefficients on a half-line. Since in this case the reflection coefficient determines a Weyl-Titchmarsh m-function, it determines the coefficients up to some simple Liouville transformations. Given inverse spectral theory, proofs are fairly simple but provide extensions of known results as we require less smoothness and less decay than is customary.

Publishing year

2012

Language

English

Pages

941-948

Publication/Series

Mathematische Nachrichten

Volume

285

Issue

8-9

Document type

Journal article

Publisher

John Wiley & Sons Inc.

Topic

  • Mathematics

Keywords

  • Inverse scattering
  • m-function
  • one-dimensional problems
  • left and right
  • definite problems
  • MSC (2010) 34K29

Status

Published

ISBN/ISSN/Other

  • ISSN: 0025-584X