un 2 00 6 An inverse problem with data on the part of the boundary
نویسنده
چکیده
Let u t = ∇ 2 u − q(x)u := Lu in D × [0, ∞), where D ⊂ R 3 is a bounded domain with a smooth connected boundary S, and q(x) ∈ L 2 (S) is a real-valued function with compact support in D. is the outer normal to S, one can find q(x) uniquely. A similar result is obtained for the heat equation u t = Lu := ∇ · (a∇u). These results are based on new versions of Property C.
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