Unique solvability of the inverse problem of determination of the leading coefficient in a parabolic equation

DOI10.1134/S0012266111010101zbMath1219.35360OpenAlexW2015912458WikidataQ115252438 ScholiaQ115252438MaRDI QIDQ542161

Vitaly L. Kamynin

Publication date: 8 June 2011

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111010101

zbMATH Keywords

generalized solutionsDirichlet probleminverse problemparabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Second-order parabolic equations (35K10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition ⋮ Inverse Problems of Simultaneous Determination of the Time-Dependent Right-Hand Side Term and the Coefficient in a Parabolic Equation ⋮ Numerical recovery of a time-dependent potential in subdiffusion ^* ⋮ Nonlocal problems for hyperbolic equations ⋮ Determining a potential of the parabolic equation from partial boundary measurements ^* ⋮ Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

Cites Work

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• Inverse problems of the determination of the coefficient in parabolic equations. I
• On the asymptotic behavior of solutions of inverse problems for parabolic equations
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations

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