Abstract inverse problem and application

DOI10.1016/0022-247X(91)90299-FzbMath0737.34007OpenAlexW2013234325MaRDI QIDQ1178478

Mourad Choulli

Publication date: 26 June 1992

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

Full work available at URL: https://eudml.org/doc/46667

zbMATH Keywords

inverse problemabstract Cauchy problemparabolic equationBanach spaceexistence and uniqueness theoremcontinuous dependencenonuniqueness result

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55)

Related Items (4)

Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. application to the determination of a nonlinear term ⋮ A partial data inverse problem for the convection-diffusion equation ⋮ Identifying a spherically symmetric conductivity in a nonlinear parabolic equation ⋮ Stability estimate for a partial data inverse problem for the convection-diffusion equation

Cites Work

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• An inverse source problem for the heat equation
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• An inverse problem in the theory of materials with memory
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• On the Eigenvalues of a Class of Integral Equations Arising in Laser Theory
• Generation of Analytic Semigroups by Strongly Elliptic Operators

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