Identification of Weakly Singular Memory Kernels in Heat Conduction

DOI10.1002/zamm.19970770403zbMath0883.35054OpenAlexW2154556217MaRDI QIDQ4352635

Jaan Janno, Lothar von Wolfersdorf

Publication date: 8 October 1997

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19970770403

zbMATH Keywords

integrodifferential heat equationexistence, uniqueness, and continuous dependence results in the large

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Thermodynamics in solid mechanics (74A15) Inverse problems for PDEs (35R30) Volterra integral equations (45D05)

Related Items (11)

A class of partial integro-differential equations with correlation-convolution integral. I ⋮ Inverse problems for a parabolic integrodifferential equation in a convolutional weak form ⋮ A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ Maximal time regularity for degenerate evolution integro-differential equations ⋮ Heat conduction with memory: a singular kernel problem ⋮ The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods ⋮ Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem ⋮ Singular kernel problems in materials with memory ⋮ Inverse problems for memory kernels by Laplace transform methods ⋮ The dicretization of neutral functional integro-differential equations by collocation methods ⋮ An identification problem for an ultraparabolic integrodifferential equation

Cites Work

• Unnamed Item
• On a class of nonlinear convolution equations
• On a class of multilinear operator equations
• Dissipativity conditions and inverse problems for heat conduction with linear memory
• Inverse problems of memory reconstruction
• On a Control Problem for Memory Kernels in Heat Conduction

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