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ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT.

Authors :
YIXIAN GAO
HONGYU LIU
YANG LIU
Source :
SIAM Journal on Applied Mathematics; 2023, Vol. 83 Issue 3, p1196-1214, 19p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00361399
Volume :
83
Issue :
3
Database :
Complementary Index
Journal :
SIAM Journal on Applied Mathematics
Publication Type :
Academic Journal
Accession number :
164738994
Full Text :
https://doi.org/10.1137/22M1499881