Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II

DOI10.1006/JMAA.1997.5365zbMath0892.45007OpenAlexW4213332704MaRDI QIDQ1378412

Alfredo Lorenzi, Fabrizio Colombo

Publication date: 21 July 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5365

zbMATH Keywords

inverse problemmaterials with memoryrelaxation kernelidentification of the kernelintegro-differential parabolic equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Classical linear elasticity (74B05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (9)

A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES ⋮ An inverse problem for a parabolic integrodifferential model in the theory of combustion ⋮ A general inverse problem for a memory kernel in one-dimensional viscoelasticity ⋮ A parabolic integro-differential identification problem in a barrelled smooth domain ⋮ Direct and inverse problems for a phase-field model with memory ⋮ Identification of weakly singular relaxation kernels in three-dimensional viscoelasticity ⋮ Global in time results for a class of inverse problems ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids

Cites Work

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• Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
• Direct and inverse problems in the theory of materials with memory
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I
• Generation of analytic semigroups in \(W^{k,p}(\Omega)\) and \(C^ k(\bar \Omega)\)
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Analytic semigroups and optimal regularity in parabolic problems

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