Coefficient Identification in Elliptic Differential Equations

  • Ian Knowles
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 5)


An outline is given for new variational approach to the problem of computing the (possibly discontinuous) coefficient functions p, q, and f in elliptic equations of the form —\( - \nabla \cdot \left( {p\left( x \right)\nabla u} \right) + \lambda q\left( x \right)u = f,\), x ∈ Ω ⊂ ℝ n , from a knowledge of the solutions u.


Hydraulic Conductivity Inverse Problem Groundwater Flow Coefficient Function Elliptic Differential Equation 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Ian Knowles
    • 1
  1. 1.Department of MathematicsUniversity of Alabama at BirminghamBirminghamUSA

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