A linear algorithm for the identification of a relaxation kernel using two boundary measures

DOI10.1088/0266-5611/31/10/105003zbMath1328.65279arXiv1503.03883OpenAlexW2174255570MaRDI QIDQ3454702

Luciano Pandolfi

Publication date: 26 November 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03883

zbMATH Keywords

identificationinverse problemviscoelasticityintegro-partial differential equationrelaxation kernellinear Volterra integral equationdeconvolution problemthermodynamics with memoryill-posed but linear problemmaterials of Maxwell-Boltzmann typenonfickian diffusionunknown kernel

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

Related Items (7)

Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory ⋮ Identification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolution ⋮ Inverse problems for the heat equation with memory ⋮ A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements ⋮ Admissibility of the Observation Operators for Volterra systems with Exponential Kernels ⋮ Infinite-time exact observability of Volterra systems in Hilbert spaces ⋮ Infinite-Time Admissibility and Exact Observability of Volterra Systems

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