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Communications in Mathematical Physics

, Volume 157, Issue 3, pp 549–572 | Cite as

Recovering singularities of a potential from singularities of scattering data

  • Allan Greenleaf
  • Gunther Uhlmann
Article

Abstract

In this paper we show that the leading singularities of certain potentials can be determined from the leading singularities of the backscattering (as well as other determined sets of scattering data). The potentials in question are conormal with respect to smooth surfaces of arbitrary dimension; the restrictions on their orders allow for unbounded potentials in all dimension greater than or equal to three.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Allan Greenleaf
    • 1
  • Gunther Uhlmann
    • 2
  1. 1.Department of MathematicsUniversity of RochesterRochesterUSA
  2. 2.Department of MathematicsUniversity of WashingtonSeattleUSA

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