A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation

A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
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DOI：
10.1590/s0101-82052006000200007
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发表时间：
2006
期刊：
Computational & Applied Mathematics
影响因子：
2.6
通讯作者：
C. Cavaterra;A. Lorenzi;Masahiro Yamamoto
C. Cavaterra;A. Lorenzi;Masahiro Yamamoto
中科院分区：
数学4区
文献类型：
--
作者：
C. Cavaterra;A. Lorenzi;Masahiro Yamamoto

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首先，我们证明双曲积分微分方程的卡尔曼估计。接下来，我们应用这样的结果，通过边界上的（附加）单个测量来识别源项中的空间相关函数。
First we prove a Carleman estimate for a hyperbolic integro-differential equation. Next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.