Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations

DOI10.1134/S0965542514020092zbMath1313.35368OpenAlexW1985582019WikidataQ124829033 ScholiaQ124829033MaRDI QIDQ2940479

A. B. Kostin

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514020092

zbMATH Keywords

inverse problemcounterexamplenonuniquenesssource reconstruction

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Related Items (8)

On an inverse problem of reconstructing a heat conduction process from nonlocal data ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Criteria of the uniqueness of solutions and well-posedness of inverse source problems ⋮ Uniqueness and stability analysis of final data inverse source problems for evolution equations ⋮ Unnamed Item ⋮ Carleman parabola and the eigenvalues of elliptic operators ⋮ On One Mathematical Model of the Extraction Process of Polydisperse Porous Material ⋮ Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type

Cites Work

• Inverse problems for elliptic equations in the space. II.
• Basis property of a system of functions related to the inverse problem of finding the source
• Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)
• Estimation of the spectral radius of an operator and the solvability of inverse problems for evolution equations
• Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term
• Inverse parabolic problems with the final overdetermination
• ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
• Analytic Fourier Transforms and Exponential Approximations. II
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