Identi cation of some source densitiesof the distribution

In this paper we investigate the solvability of an ill-posed two-dimensional Fred-holm integral equation of the rst kind which allows the solutions of distribution type. The problem is rst transformed into a well-posed diierential-integral equation using output least-squares approach with a regularization of bounded variations. A globally convergent iterative method is proposed and some numerical results are presented. The methodology discussed may be applied for the identiication of the boundary shape of the defects of a dieletric material or the interface between diierent materials.