Identification of a piecewise constant coefficient in the beam equation

DOI10.1016/S0377-0427(99)00285-XzbMath0954.74042WikidataQ126586928 ScholiaQ126586928MaRDI QIDQ1970383

T. L. Sheronova, Sergeĭ Anatol'evich Avdonin, Negash G. Medhin

Publication date: 8 February 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

identificationinverse problemsspectral problemstring equationdynamical inverse problembeam equationpiecewise constant coefficientboundary control methodnonsmooth coefficientsboundary input-output map

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Inverse problems for PDEs (35R30) Strings (74K05)

Related Items (3)

Determining a distributed parameter in a neural cable model via a boundary control method ⋮ Identification of variable spacial coefficients for a beam equation from boundary measurements ⋮ Boundary control method to identification of elastic modulus of string equation from Neumann-Dirichlet map

Cites Work

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• BOUNDARY CONTROL AND A MATRIX INVERSE PROBLEM FOR THE EQUATION $ u_{tt}-u_{xx}+V(x)u=0$
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• The BC-method in the inverse problem for the heat equation
• A mathematical framework for curved active constrained layer structures: well-posedness and approximation¹

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