THE LINEARIZATION OF THE DIRICHLET TO NEUMANN MAP IN ANISOTROPIC PLATE-THEORY

被引：9
|
作者：
IKEHATA, M
机构：
[1] Department of Applied Physics, School of Engineering, Nagoya University, Chikusa-Ku
来源：
INVERSE PROBLEMS | 1995年 / 11卷 / 01期
关键词：
D O I：
10.1088/0266-5611/11/1/009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Pi*(M) be the Dirichlet to Neumann map associated with the equation of the transverse displacement of the plate Omega with elasticity tenser field M. From Pi*(M) one wishes to identify M. It is proved that the Frechet derivative of the map Pi* : M --> Pi*(M) at the homogeneous anisotropic M is injective if and only if the discriminant of the polynomial [GRAPHICS] does not vanish.
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页码：165 / 181
页数：17
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