Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time

DOI10.1134/S0965542515010121zbMath1473.35652OpenAlexW2088276334MaRDI QIDQ2354419

A. B. Kostin

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515010121

zbMATH Keywords

nonlocal observation (or overdetermination) conditionsufficient conditions for existence and uniqueness of a solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Related Items (2)

Unnamed Item ⋮ A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation

Cites Work

• The inverse problem of determining the lower-order coefficient in parabolic equations with integral observation
• Inverse problem of finding the coefficient of a lower derivative in a parabolic equation on the plane
• Two inverse problems of finding a coefficient in a parabolic equation
• Inverse problems of the determination of the coefficient in parabolic equations. I
• On inverse problems of determining a coefficient in a parabolic equation. II
• The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem
• Determination of an unknown coefficient in a parabolic differential equation
• Inverse parabolic problems with the final overdetermination
• The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation
• Inverse problems for partial differential equations
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