Unique recovery of a coefficient in an elliptic equation from input sources Academic Article uri icon

abstract

  • 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.

citation count

  • 7

publication date

  • February 1995