On an inverse problem for a model of linear viscoelastic Kirchhoff plate

DOI10.1216/jiea/1181076012zbMath0901.73037OpenAlexW2075108938MaRDI QIDQ1386643

Maurizio Grasselli, Cecilia Cavaterra

Publication date: 26 May 1998

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol93/cont9-3/cont9-3.htm

zbMATH Keywords

existence of solutionscontinuous dependence on dataconvolution kernelrotational inertia termtime convolution termviscoelastic flexural rigidity

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Plates (74K20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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An inverse problem for a viscoelastic Timoshenko beam model ⋮ Recovering degenerate kernels in hyperbolic integro-differential equations ⋮ Identification of a memory kernel in a nonlinear integrodifferential parabolic problem ⋮ Identification of weakly singular relaxation kernels in three-dimensional viscoelasticity ⋮ Nondestructive characterization of materials with variable properties ⋮ Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity

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