A unified approach to nonlinear integro-differential inverse problems of parabolic type

DOI10.4171/ZAA/1086zbMath1019.45006OpenAlexW2076806716MaRDI QIDQ699316

Davide Guidetti, Fabrizio Colombo

Publication date: 15 September 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1086

zbMATH Keywords

combustionBanach spacepopulation dynamicsanalytic semigroup theoryoptimal regularity resultsidentification of memory kernelsparabolic nonlinear integro-differential boundary value problems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) Combustion (80A25) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05)

Related Items (7)

Analysis of nonlinear fractional diffusion equations with a Riemann-Liouville derivative ⋮ A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES ⋮ An inverse problem for a parabolic integrodifferential model in the theory of combustion ⋮ Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase‐field model ⋮ On a Finite Difference Scheme for an Inverse Integro-Differential Problem Using Semigroup Theory: A Functional Analytic Approach ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids

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