SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS OF PARABOLIC TYPE AND INVERSE PROBLEMS

DOI10.1142/S0218202503003100zbMath1059.45010OpenAlexW2016322868MaRDI QIDQ4822380

Alfredo Lorenzi, Angelo Favini

Publication date: 25 October 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202503003100

zbMATH Keywords

Banach spacesinverse problemCauchy problemlinear singular integro-differential equationsidentifying problemparabolic partial integro-differential equationskernel recovering

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05)

Related Items (11)

Identification problem for degenerate evolution equations of fractional order ⋮ An identification problem for first-order degenerate differential equations ⋮ Identification problems for nonclassical integro-differential parabolic equations ⋮ Projection method for solving degenerate first-order identification problem ⋮ An inverse source problem for a nonlinear pseudoparabolic equation with p-Laplacian diffusion and damping term ⋮ Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case ⋮ Maximal time regularity for degenerate evolution integro-differential equations ⋮ Identification problem for strongly degenerate evolution equations with the Gerasimov-Caputo derivative ⋮ Inverse problem for evolutionary equation with the Gerasimov-Caputo fractional derivative in the sectorial case ⋮ Second-order degenerate identification differential problems ⋮ Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative

Cites Work

• Unnamed Item
• Linear parabolic evolution equations in \(L^ p\)-spaces
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Degenerate self-adjoint evolution equations on the unit interval
• An inverse problem in the theory of materials with memory

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