Recovering a leading coefficient and a memory kernel in first-order integro-differential operator equations.

DOI10.1016/S0022-247X(03)00281-6zbMath1059.47054MaRDI QIDQ1405305

Alberto Favaron, Alfredo Lorenzi

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integro-partial differential equationidentification problemsexistence and uniqueness resultsabstract linear first-order integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fixed-point theorems (47H10) Groups and semigroups of linear operators (47D03) Linear operators on function spaces (general) (47B38) Integro-differential operators (47G20)

Related Items (3)

Recovering memory kernels in parabolic transmission problems ⋮ The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm ⋮ Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case

Cites Work

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• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Conductivity identification in the heat equation by the heat flux
• An inverse problem in the theory of materials with memory
• Various methods for finding unknown coefficients in parabolic differential equations
• Analytic semigroups and optimal regularity in parabolic problems

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