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DOI码：10.1515/156939406779768283

发表刊物：Journal of Inverse and Ill-Posed Problems

摘要：For the solution to ∂^2_{t}u (x, t) − ∆u (x, t) + q(x)u (x, t) = δ(x_1)δ'(t) and u|_{t<0} = 0, we consider an inverse problem of determining q(x), x ∈ Ω from data f = u|_{S_T} and g = (∂u/∂ν)|_{S_T}. Here Ω ⊂ {(x_1, . . ., x_n) ∈ R^n|x_1 > 0}, n ≥ 2, is a bounded domain, S_T = {(x, t) | x ∈ ∂Ω, x_1 < t < T + x_1} and T > 0. For suitable T > 0, we prove an L^2(Ω)-size estimation of q: ||q||_{L^2(Ω)} ≤ C{||f||_{H^1(S_T)} + ||g||_{L^2(S_T)}}, provided that q satisfies a priori uniform boundedness conditions. We use an inequality of Carleman type in our proof.

第一作者：李書敏

论文类型：期刊论文

学科门类：理学

文献类型：J

卷号：14

期号：9

页面范围：891-904

是否译文：否

发表时间：2006-09-01

收录刊物：EI

发布期刊链接：https://www.degruyter.com/document/doi/10.1515/156939406779768283/html