Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space‐time open set

DOI10.1002/zamm.201800252OpenAlexW2946148928WikidataQ127816934 ScholiaQ127816934MaRDI QIDQ6145910

Alexandre Kawano, Luís Yamaoka

Publication date: 9 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800252

zbMATH Keywords

inverse problemssource identificationLipschitz boundariesgermain Lagrange plates

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Miscellaneous topics in partial differential equations (35Rxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• On multi-dimensional sampling and interpolation
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• Uniqueness in the determination of vibration sources in rectangular Germain–Lagrange plates using displacement measurements over line segments with arbitrary small length
• Approximation of discrete functions and size of spectrum
• Completeness of the Eigenfunctions of the Equilateral Triangle
• PARADOXES OF LIMIT PASSAGE IN SOLUTIONS OF BOUNDARY VALUE PROBLEMS INVOLVING THE APPROXIMATION OF SMOOTH DOMAINS BY POLYGONAL DOMAINS
• Eigenstructure of the Equilateral Triangle, Part I: The Dirichlet Problem

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