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The Enclosure Method and its Applications

  • Masaru Ikehata
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 9)

Abstract

The inverse conductivity problem is the problem of extracting several information about the coefficient γ in the uniformly elliptic equation ∇ · γu = 0 in a bounded domain Ω from the Cauchy data on ∂Ω of infinitely or finitely many solutions to the equation. We introduce a new method for attacking this problem and show its wide range of applicability. The metod is based on the new role of the exponentially growing solutions. Its applications to the Cauchy problem for an elliptic equation and the Dirichlet problem are also included.

Keywords

Inverse Problem Cauchy Problem Elliptic Equation Dirichlet Problem Schrodinger Equation 
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 Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Masaru Ikehata
    • 1
  1. 1.Department of Mathematics, Faculty of EngineeringGunma UniversityKiryuJapan

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