Identification problems for singular integro-differential equations of parabolic type. II

DOI10.1016/J.NA.2003.10.018zbMath1048.45009OpenAlexW2079206459MaRDI QIDQ1426716

Angelo Favini, Alfredo Lorenzi

Publication date: 15 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.018

zbMATH Keywords

inverse problemCauchy problemBanach spaceidentification problemsabstract linear singular first-order integro-differential equationsidentifying unknown kernelslinear singular partial integro-differential equations of parabolic type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) System identification (93B30) Partial functional-differential equations (35R10) Applications of operator theory to differential and integral equations (47N20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Integro-differential operators (47G20) Inverse problems for integral equations (45Q05)

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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 ⋮ Inverse problems for evolution equations with time dependent operator-coefficients ⋮ Parameter identification for vector dynamic equations on arbitrary time scales ⋮ On a study of Sobolev‐type fractional functional evolution equations ⋮ Subordination principle for fractional diffusion-wave equations of Sobolev type ⋮ Source degenerate identification problems with smoothing overdetermination ⋮ Identification problems for singular integro-differential equations of parabolic type. II ⋮ Perturbation method for first- and complete second-order differential equations ⋮ Hölder continuous solutions for Sobolev type differential equations ⋮ System identification by operatorial cancellation of nonlinear terms and application to a class of Volterra models ⋮ Fractional differential equations of Sobolev type with sectorial operators ⋮ Inverse Problems for Mathematical Models of Quasistationary Electromagnetic Waves in Anisotropic Nonmetallic Media with Dispersion ⋮ Second-order degenerate identification differential problems

Cites Work

• Nonclassical and inverse problems for pseudoparabolic equations
• Identification problems for singular integro-differential equations of parabolic type. II
• Multivalued linear operators and degenerate evolution equations
• An inverse problem in the theory of materials with memory
• Pseudoparabolic integrodifferential identification problems at resonance in Hilbert spaces
• Identification problems for pseudoparabolic integrodifferential operator equations
• Singular Differential Equations in Hilbert Space
• Generation of Analytic Semigroups by Strongly Elliptic Operators
• Analytic semigroups and optimal regularity in parabolic problems
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