Lipschitz stability of an inverse problem for an acoustic equation
Lipschitz stability of an inverse problem for an acoustic equation
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DOI：
10.1080/00036810500474788
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发表时间：
2006-05
影响因子：
1.1
通讯作者：
M. Klibanov;Masahiro Yamamoto
中科院分区：
文献类型：
--
作者：
M. Klibanov;Masahiro Yamamoto
本文考虑了确定方程中系数p（x）的一个反问题。与以前的结果相比，这里的主要困难是函数p（x）与其导数一起涉及。利用Carleman估计方法得到了Lipschitz稳定性估计。
An inverse problem of the determination of the coefficient p(x) in the equation is considered. The main difficulty here as compared with the previous results is that the function p(x) is involved together with its derivatives. A Lipschitz stability estimate is obtained using the method of Carleman estimates.