Recovering memory kernels in parabolic transmission problems

DOI10.1515/JIIP.2008.015zbMath1158.45008OpenAlexW1994618330MaRDI QIDQ3516770

Jaan Janno, Alfredo Lorenzi

Publication date: 11 August 2008

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2008.015

zbMATH Keywords

existenceinverse problemuniquenesscontinuous dependenceidentification problemsunknown memory kernelsparabolic integrodifferential transmission problemsthermal body

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems for integral equations (45Q05)

Related Items (9)

Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory ⋮ Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor ⋮ Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary ⋮ A global in time existence and uniqueness result for an integrodifferential hyperbolic inverse problem with memory effect ⋮ Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect ⋮ On the well-posedness of determination of two coefficients in a fractional integrodifferential equation ⋮ Problem of determining the thermal memory of a conducting medium ⋮ Nonlocal complement value problem for a global in time parabolic equation ⋮ Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case

Cites Work

• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I
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• A parabolic integro-differential identification problem in a barrelled smooth domain
• Caractérisation de quelques espaces d'interpolation
• On the Linear Heat Equation with Fading Memory
• An inverse problem in the theory of materials with memory
• Determination of a time- and space-dependent heat flux relaxation function by means of a restricted Dirichlet-to-Neumann operator
• An inverse problem for identification of a time- and space-dependent memory kernel of a special kind in heat conduction
• An identification problem for a conserved phase-field model with memory

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