A uniqueness theorem for an inverse boundary value problem in two dimensions
نویسندگان
چکیده
منابع مشابه
A uniqueness theorem for a boundary inverse problem
Let DcR' be a bounded domain with a smooth boundary r, A u + q ( x ) u = O in D u = f , u N = h on Iand ~ ( x ) E L ~ ( D ) . From knowledge of the set {f, h} where f runs through C'(r) the coefficient 9(x) is uniquely recovered. Analytical formulae for y(x) are given. Applications are considered. Let D c R3 be a bounded domain with a smooth boundary r, q(x) E L"(D) , A u + q ( x ) u = O in D U...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00085-9