Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations
Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations
复制标题
同时确定随机欧拉-伯努利梁方程的两个未知数
DOI：
10.1016/j.jmaa.2017.01.023
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发表时间：
2017
影响因子：
1.3
通讯作者：
Yuan Ganghua
中科院分区：
文献类型：
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作者：
Yuan Ganghua
本文研究了随机动力Euler-Bernoulli梁方程的双未知数反问题。通过适当的观测，可以唯一地确定随机力的强度和初始速度。通过对随机梁方程的整体Carleman估计，证明了该结果的唯一性.结果表明，随机Euler-Bernoulli梁方程的反问题形式不同于确定性反问题。
In this paper, we are concerned with inverse problems with two unknowns for stochastic dynamic Euler–Bernoulli beam equations. By some suitable observations, one can determine the random force intensity and the initial velocity uniquely. The uniqueness result is proved by means of global Carleman estimates for the stochastic beam equations. It shows that the formulation of inverse problems for the stochastic Euler–Bernoulli beam equations is different from the deterministic counterpart.