数学
伯努利原理
可观测性
边界(拓扑)
反问题
数学分析
边值问题
理论(学习稳定性)
反向
曲面(拓扑)
欧拉公式
几何学
应用数学
物理
机器学习
热力学
计算机科学
作者
Song-Reng Fu,Peng-Fei Yao
出处
期刊:Inverse Problems
[IOP Publishing]
日期:2023-03-16
卷期号:39 (4): 045003-045003
被引量:3
标识
DOI:10.1088/1361-6420/acc19b
摘要
Abstract We consider stability in an inverse problem of determining three spatially varying functions including the source term and the mass density for a curved plate by the Riemannian geometrical approach. The stability is derived by the Carleman estimates and observability inequalities. Two kinds of boundary conditions are considered: one is the hinged boundary conditions and the other is the clamped boundary conditions. In particular, the case of the Euler–Bernoulli plate is included.
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