Inverse problem of finding the coefficient of a lower derivative in a parabolic equation on the plane

DOI10.1134/S001226611202005XzbMath1239.35183OpenAlexW2045951335WikidataQ115252203 ScholiaQ115252203MaRDI QIDQ425230

Vitaly L. Kamynin

Publication date: 7 June 2012

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

Full work available at URL: https://doi.org/10.1134/s001226611202005x

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Inverse problem with nonlocal observation of finding the coefficient multiplying \(u_t\) in the parabolic equation ⋮ Inverse problem of finding n coefficients of lower derivatives in a parabolic equation ⋮ Simultaneous determination of time and space-dependent coefficients in a parabolic equation ⋮ Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time

Cites Work

• Two inverse problems of finding a coefficient in a parabolic equation
• Inverse problems of the determination of the coefficient in parabolic equations. I
• 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
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