ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

被引：2

作者：

Gao, Yixian ^{[1
]}

Liu, Hongyu ^{[2
]}

Liu, Yang ^{[3
]}

机构：

[1] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2023年 / 83卷 / 03期

关键词：

plate equation; density; internal sources; passive boundary measurement; 1ST-ORDER PERTURBATION; UNKNOWN SOURCE; SCATTERING; OPERATOR;

D O I：

10.1137/22M1499881

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying results in simultaneously determining both the unknown density and the internal sources from the passive boundary measurement. The proof mainly relies on the asymptotic analysis and harmonic analysis on integral transforms.

引用

页码：1196 / 1214

页数：19

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