论文标题

系数的对数稳定性,耦合波方程的逆问题

Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations

论文作者

Dou, Fangfang, Yamamoto, Masahiro

论文摘要

本文研究了耦合双曲系统中两个系数的鉴定,并在溶液的一个组件上观察。基于耦合波方程的卡尔曼估计值,仅在适当选择的子域中通过测量数据获得对数类型稳定性结果,假设该系数是在某个子包装中给出的。

This paper investigates the identification of two coefficients in a coupled hyperbolic system with an observation on one component of the solution. Based on the the Carleman estimate for coupled wave equations a logarithmic type stability result is obtained by measurement data only in a suitably chosen subdomain under the assumption that the coefficients are given in a neighborhood of some subboundary.

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