On some classes of inverse problems for parabolic equations

DOI10.1515/jiip.2011.011zbMath1279.35123OpenAlexW2045089047MaRDI QIDQ2874481

Sergei G. Pyatkov

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2011.011

zbMATH Keywords

inverse problemparabolic equationcontrol problemheat and mass transfer

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Inverse problems for PDEs (35R30) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (8)

On some class of the pseudohyperbolicequations with an unknown coefficient ⋮ Solvability of some inverse problems for the nonstationary heat-and-mass-transfer system ⋮ On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder ⋮ THE UNIQUE SOLVABILITY OF A NONLOCAL INVERSE BOUNDARY-VALUE PROBLEM FOR THE PSEUDO-HYPERBOLIC EQUATION OF FOURTH ORDER ⋮ On some inverse problems for a linearized system of heat and mass transfer ⋮ On some classes of inverse problems of recovering a source function ⋮ Unnamed Item ⋮ On some classes of inverse problems with overdetermination data on spatial manifolds

Cites Work

• On evolutionary inverse problems for parabolic equations
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• Separable anisotropic differential operators in weighted abstract spaces and applications
• Coefficient inverse extremum problems for stationary heat and mass transfer equations

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