Radiating and non-radiating sources in elasticity

被引：24
|
作者：
Blasten, Eemeli [1 ]
Lin, Yi-Hsuan [2 ,3 ]
机构：
[1] Hong Kong Univ Sci & Technol, Jockey Club Inst Adv Study, Clear Water Bay, Hong Kong, Peoples R China
[2] Hong Kong Univ Sci & Technol, Inst Adv Study, Clear Water Bay, Hong Kong, Peoples R China
[3] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla, Finland
来源：
INVERSE PROBLEMS | 2019年 / 35卷 / 01期
基金：
芬兰科学院;
关键词：
inverse source problem; elastic waves; Navier equation; exponential solutions; transmission eigenfunctions; INVERSE CONDUCTIVITY PROBLEM; RECONSTRUCTION; CORNERS; SCATTERING;
D O I：
10.1088/1361-6420/aae99e
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the inverse source problem of a fixed frequency for the Navier equation. We investigate non-radiating external forces. If the support of such a force has a convex or non-convex corner or edge on its boundary, the force must be vanishing there. The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. The idea originates from the enclosure method: an energy identity and a new type of exponential solution for the Navier equation.
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页数：16
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