Parabolic equations with unknown time-dependent coefficients

DOI10.1134/S0965542517060082OpenAlexW2725641796MaRDI QIDQ1682925

A. I. Kozhanov

Publication date: 6 December 2017

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

Full work available at URL: https://doi.org/10.1134/s0965542517060082

zbMATH Keywords

existenceuniquenessparabolic equationsregular solutionsunknown coefficientsnonlinear inverse problemsboundary overdetermination

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (13)

On the solvability of the Cauchy problem for a certain class of multidimensional loaded parabolic equations ⋮ On the Cauchy problem for a one-dimensional loaded parabolic equation of a special form ⋮ Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii-Ionkin condition ⋮ INVERSE PROBLEMS OF RESTORING PARAMETERS IN PARABOLIC AND HYPERBOLIC EQUATIONS ⋮ Nonlinear inverse problems for parabolic equations with time-dependent coefficients. Reduction to nonlocal problems with Samarskii-Ionkin type conditions ⋮ The Goursat and Cauchy problems for three-dimensional Bianchi equation ⋮ A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation ⋮ A Numerical Method of Solving the Coefficient Inverse Problem for the Nonlinear Equation of Diffusion-Reaction ⋮ Inverse problems of finding the absorption parameter in the diffusion equation ⋮ Об одной задаче для обобщенного уравнения Буссинеска-Лява ⋮ Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition ⋮ The second order of ADS for reverse parabolic boundary value problem with integral condition ⋮ The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

Cites Work

• Nonlinear inverse problem for a higher-order parabolic equation
• An inverse problem for a higher order parabolic equation
• Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Definitions and examples of inverse and ill-posed problems
• Inverse problems for partial differential equations
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