UNIQUE RECOVERY OF A COEFFICIENT IN AN ELLIPTIC EQUATION FROM INPUT SOURCES 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.

published proceedings

  • INVERSE PROBLEMS

author list (cited authors)

  • LOWE, B. D., & RUNDELL, W.

citation count

  • 7

complete list of authors

  • LOWE, BD||RUNDELL, W

publication date

  • January 1995