ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 1196-1214 |
Journal / Publication | SIAM Journal on Applied Mathematics |
Volume | 83 |
Issue number | 3 |
Online published | 9 Jun 2023 |
Publication status | Published - 2023 |
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DOI | DOI |
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Attachment(s) | Documents
Publisher's Copyright Statement
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Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85162263985&origin=recordpage |
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(9721ebf8-7e37-41c5-b9ed-bff5016e0be5).html |
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.
In: SIAM Journal on Applied Mathematics, Vol. 83, No. 3, 2023, p. 1196-1214.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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