Inverse problems for identification of memory kernels in heat flow

DOI10.1515/jiip.1996.4.1.39zbMath0857.45011OpenAlexW1964203739MaRDI QIDQ4883182

Lothar von Wolfersdorf, Jaan Janno

Publication date: 21 August 1996

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.1996.4.1.39

zbMATH Keywords

inverse problemuniquenessglobal existenceheat flowcontinuous dependenceidentification of memory kernelsresultslinear parabolic integrodifferential identification problemsdetermination of a kernel depending on timefirst kind Volterra convolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

Related Items (11)

On a class of nonlinear convolution equations ⋮ О единственности определения ядра интегро-дифференциального уравнения параболического типа ⋮ One-dimensional inverse problems of finding the kernel of integrodifferential heat equation in a bounded domain ⋮ One-dimensional inverse problems of determining the kernel of the integro-differential heat equation in a bounded domain ⋮ Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor ⋮ Convolution kernel determining problem for an integro-differential heat equation with nonlocal initial-boundary and overdetermination conditions ⋮ Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition ⋮ The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods ⋮ Inverse problems for memory kernels by Laplace transform methods ⋮ Direct regularization for system of integral-algebraic equations of index-1 ⋮ An identification problem for an ultraparabolic integrodifferential equation

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