ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1196-1214
Journal / PublicationSIAM Journal on Applied Mathematics
Volume83
Issue number3
Online published9 Jun 2023
Publication statusPublished - 2023

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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. © 2023 Society for Industrial and Applied Mathematics Publications. All rights reserved.

Research Area(s)

  • density, internal sources, passive boundary measurement, plate equation

Citation Format(s)

ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT. / Gao, Yixian; Liu, Hongyu; Liu, Yang.
In: SIAM Journal on Applied Mathematics, Vol. 83, No. 3, 2023, p. 1196-1214.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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