Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output

DOI10.1088/1361-6420/ac01fbzbMath1467.74036OpenAlexW3161956258MaRDI QIDQ4995180

Onur Baysal, Alemdar Hasanov, Vladimir G. Romanov

Publication date: 23 June 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ac01fb

zbMATH Keywords

existencewave equationuniquenesssingularityTikhonov functionalinverse source problemdamped Euler-Bernoulli equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74) Inverse problems in dynamical solid mechanics (74H75)

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Uniqueness and stability analysis of final data inverse source problems for evolution equations, Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation, Inverse problems of identifying the unknown transverse shear force in the Euler-Bernoulli beam with Kelvin-Voigt damping, Simultaneous determination of mass density and flexural rigidity of the damped Euler-Bernoulli beam from two boundary measured outputs, Determination of a spatial load in a damped Kirchhoff–Love plate equation from final time measured data

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