Uniqueness results in the identification of distributed sources over Germain–Lagrange plates by boundary measurements

DOI10.1080/00036811.2015.1084413zbMath1348.35322OpenAlexW2279062350MaRDI QIDQ2825392

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Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1084413

zbMATH Keywords

wave equationinverse problemspartial differential equationsGermain-Lagrange plate equation

Mathematics Subject Classification ID

Plates (74K20) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space‐time open set ⋮ Uniqueness in the determination of loads in multi-span beams and plates

Cites Work

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• A uniqueness theorem for the determination of sources in the Germain-Lagrange plate equation
• Determination of forces in vibrations of beams and plates by pointwise and line observations
• Determination of point sources in vibrating plate by boundary measurements
• Uniqueness in the determination of vibration sources in rectangular Germain–Lagrange plates using displacement measurements over line segments with arbitrary small length
• Uniqueness and Nonuniqueness Results for a Certain Class of Almost Periodic Distributions
• Solving Inverse Source Problems Using Observability. Applications to the Euler–Bernoulli Plate Equation
• Global uniqueness and stability for an inverse wave source problem for less regular data

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