Abstract
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 ⊂ ℝn, from a knowledge of the solutions u.
Supported in part by US National Science Foundation grant DMS-9505047. This is an expanded version of a lecture given at the ISAAC97 Conference, University of Delaware, June 3–7, 1997
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Knowles, I. (2000). Coefficient Identification in Elliptic Differential Equations. In: Gilbert, R.P., Kajiwara, J., Xu, Y.S. (eds) Direct and Inverse Problems of Mathematical Physics. International Society for Analysis, Applications and Computation, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3214-6_8
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DOI: https://doi.org/10.1007/978-1-4757-3214-6_8
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