On an Inverse Problem of Determining a Support of a Source Term in an Elliptic Equation
نویسندگان
چکیده
In this paper, we will give a simpler proof for the uniqueness in the following inverse problem which we have already discussed in Preprint UTMS 2001-30 (Graduate School of Mathematical Sciences, The University of Tokyo, 2001):We consider an inverse problem of identifying the support D of a source term in an elliptic equation −∆u(x) + q(x)χD(x)u(x) = 0, x ∈ Ω and u(x) = f(x), x ∈ ∂Ω. Here q is a given positive function and χD is the characteristic function of a subdomain D such that D ⊂ Ω. In this paper, we prove the global uniqueness in this inverse problem within convex hulls of polygons D’s.
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تاریخ انتشار 2002