On a Control Problem for Memory Kernels in Heat Conduction

DOI10.1002/zamm.19950750505zbMath0830.49018OpenAlexW2087953618MaRDI QIDQ4847495

Lothar von Wolfersdorf, Friedmar Unger

Publication date: 30 January 1996

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.19950750505

zbMATH Keywords

optimality conditionsmemory kernelslinear integrodifferential equationmaterial with thermal memoryoptimal control problem of least squares type

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay ⋮ Identification of Weakly Singular Memory Kernels in Heat Conduction ⋮ Identification of Weakly Singular Memory Kernels in Heat Conduction ⋮ An Optimal Control Problem of Nonlocal Pyragas Feedback Controllers for Convective FitzHugh--Nagumo Equations with Time-Delay

Cites Work

• On the Linear Heat Equation with Fading Memory
• Dissipativity conditions and inverse problems for heat conduction with linear memory
• An identification problem for a linear integrodifferential equation occurring in heat flow
• Algorithms for the Solution of the Nonlinear Least-Squares Problem
• On identification of memory kernels in linear theory of heat conduction

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