Unique recovery of a coefficient in an elliptic equation from input sources
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We consider the problem of determining the coefficient q(x) from the equation - Delta uj+quj=fj on a bounded domain Omega contained in/implied by Rn subject to Dirichlet boundary conditions. The non-homogeneous terms (fj)1infinity form a complete set in L2( Omega ). We prove that, under suitable conditions, a unique determination is possible from the net flux data. A numerical scheme to reconstruct the coefficient is suggested.
author list (cited authors)
Lowe, B. D., & Rundell, W.