Identification of weakly singular relaxation kernels in three-dimensional viscoelasticity

DOI10.1006/jmaa.2001.7547zbMath0992.45010OpenAlexW2013224866MaRDI QIDQ5952259

Jaan Janno

Publication date: 28 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7547

zbMATH Keywords

Hilbert spaceBanach spaceoperator identificationthree-dimensional viscoelasticityweakly singular relaxation kernels

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Systems of nonsingular linear integral equations (45F05) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05)

Related Items (3)

A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements ⋮ Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity ⋮ Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem

Cites Work

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• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II
• On an inverse problem for a model of linear viscoelastic Kirchhoff plate
• Inverse problems for determining monotone weakly singular relaxation kernels in viscoelasticity
• Partial differential equations. 1: Basic theory
• Correction to Determining the relaxation tensor in linear viscoelasticity of integral type
• On a class of multilinear operator equations
• On an inverse problem for a linear hyperbolic integrodifferential equation
• A class of inverse problems for viscoelastic material with dominating Newtonian viscosity
• Global existence for a hyperbolic integrodifferential inverse problem
• An inverse hyperbolic integrodifferential problem arising in geophysics II
• On dissipation inequalities and linear viscoelasticity
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