ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

Yixian Gao; Hongyu Liu; Yang Liu

doi:10.1137/22M1499881

ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

Yixian Gao, Hongyu Liu, Yang Liu

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

53 Downloads (CityUHK Scholars)

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.

Original language	English
Pages (from-to)	1196-1214
Journal	SIAM Journal on Applied Mathematics
Volume	83
Issue number	3
Online published	9 Jun 2023
DOIs	https://doi.org/10.1137/22M1499881
Publication status	Published - 2023

Research Keywords

density
internal sources
passive boundary measurement
plate equation

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2023 Society for Industrial and Applied Mathematics.

Access Output

10.1137/22M1499881

162007594.pdfFinal Published version, 407 KB

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{9721ebf87e3741c5b9edbff5016e0be5,

title = "ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT",

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. {\textcopyright} 2023 Society for Industrial and Applied Mathematics Publications. All rights reserved.",

keywords = "density, internal sources, passive boundary measurement, plate equation",

author = "Yixian Gao and Hongyu Liu and Yang Liu",

year = "2023",

doi = "10.1137/22M1499881",

language = "English",

volume = "83",

pages = "1196--1214",

journal = "SIAM Journal on Applied Mathematics",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics",

number = "3",

}

TY - JOUR

T1 - ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

AU - Gao, Yixian

AU - Liu, Hongyu

AU - Liu, Yang

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - density

KW - internal sources

KW - passive boundary measurement

KW - plate equation

UR - http://www.scopus.com/inward/record.url?scp=85162263985&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85162263985&origin=recordpage

U2 - 10.1137/22M1499881

DO - 10.1137/22M1499881

M3 - RGC 21 - Publication in refereed journal

SN - 0036-1399

VL - 83

SP - 1196

EP - 1214

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 3

ER -

ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

Abstract

Research Keywords

Publisher's Copyright Statement

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

GRF: Mathematical Study of Fields Concentration and Gradient Estimates with Applications

Ger/HKJRS: Live Tracking of Cellular mRNA Expression Using Spherical Nucleic Acid-based mRNA Nanoflares

GRF: Mathematical Studies of Surface-localized Transmission Eigenstates and Applications

Cite this

ON AN INVERSE PROBLEM FOR THE PLATE EQUATION WITH PASSIVE MEASUREMENT

Abstract

Research Keywords

Publisher's Copyright Statement

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Projects

GRF: Mathematical Study of Fields Concentration and Gradient Estimates with Applications

Ger/HKJRS: Live Tracking of Cellular mRNA Expression Using Spherical Nucleic Acid-based mRNA Nanoflares

GRF: Mathematical Studies of Surface-localized Transmission Eigenstates and Applications

Cite this