Some inverse problems of identification for integrodifferential parabolic systems with a boundary memory term

DOI10.3934/DCDSS.2015.8.749zbMathNoneOpenAlexW2324277728MaRDI QIDQ479127

Davide Guidetti

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.749

zbMATH Keywords

inverse problemsconvolution kernelsIntegrodifferential parabolic problemsmemory operators

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Integro-differential operators (47G20)

Cites Work

• Theory of function spaces
• Automatic control via thermostats of a hyperbolic Stefan problem with memory
• Differential models of hysteresis
• Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• Identification of a source factor in a control problem for the heat equation with a boundary memory term
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