On a global estimate in a linear inverse hyperbolic problem
On a global estimate in a linear inverse hyperbolic problem
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DOI：
10.1088/0266-5611/12/6/013
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发表时间：
1996-12
期刊：
影响因子：
2.1
通讯作者：
J. Puel;Masahiro Yamamoto
中科院分区：
文献类型：
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作者：
J. Puel;Masahiro Yamamoto
我们展示了一个全球性的Lipschitz估计在确定一个源项的双曲型方程从超定数据的横向边界。该方法是Carleman估计的唯一性结果与紧性唯一性论证的结合，也可广泛应用于一般多维情况下源项或系数的确定。献给Takashi Kayano教授63岁生日
We show a global Lipschitz estimate in determining a source term in a hyperbolic equation from overdetermining data on the lateral boundary. The method is a combination of the uniqueness result by the Carleman estimate and the compactness - uniqueness argument, and is also widely applicable to the determination of source terms or coefficients in the general multidimensional case. Dedicated to Professor Takashi Kayano on his 63rd birthday