On the asymptotic behavior of inverse problems for parabolic equation

DOI10.1007/S41808-021-00127-8zbMath1479.35104OpenAlexW3206986407MaRDI QIDQ2061661

Elena Lemeshkova, Victor K. Andreev

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-021-00127-8

zbMATH Keywords

integral overdetermination.viscous heat-conducting fluid motion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On some classes of linear inverse problems for parabolic systems of equations
• On the asymptotic behavior of solutions of inverse problems for parabolic equations
• Mathematical models of convection
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• On the Solution of an Inverse Problem Simulating Two-Dimensional Motion of a Viscous Fluid
• On the Asymptotic Behavior of the Conjugate Problem Describing a Creeping Axisymmetric Thermocapillary Motion

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