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Siberian Mathematical Journal

, Volume 42, Issue 5, pp 916–925 | Cite as

Mathematical Problems of Tomography and Hyperbolic Mappings

  • M. M. Lavrent'ev
Article

Abstract

We consider a new class of mathematical problems related to interpretation of tomography data. The main assumption is that the sought distribution of absorption is an identically one function in the domain to be determined. These problems are connected with three known directions of mathematical physics: the Dirichlet problems for hyperbolic equations, the problems of small oscillations of a rotating fluid, and the problems of supersonic flows of an ideal gas.

Keywords

Mathematical Physic Tomography Data Dirichlet Problem Mathematical Problem Supersonic Flow 
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

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • M. M. Lavrent'ev
    • 1
  1. 1.The Sobolev Institute of MathematicsNovosibirsk

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