On some classes of inverse problems of recovering the heat transfer coefficient in stratified media

DOI10.1134/S0037446622020021zbMath1487.80017OpenAlexW4225751537MaRDI QIDQ2123078

V. A. Belonogov, Sergei G. Pyatkov

Publication date: 8 April 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622020021

zbMATH Keywords

inverse problemparabolic equationheat transfer coefficienttransmission problemheat and mass transfer

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse problems in thermodynamics and heat transfer (80A23) Second-order parabolic equations (35K10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii-Ionkin condition ⋮ RECOVERING OF THE HEAT TRANSFER COEFFICIENT IN TRANSMISSION PROBLEMS WITH IMPERFECT CONTACT CONDITIONS ⋮ Nonlinear inverse problems for parabolic equations with time-dependent coefficients. Reduction to nonlocal problems with Samarskii-Ionkin type conditions

Cites Work

• On solvability of conjugation problems with non-ideal contact conditions
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• Linear and quasilinear elliptic equations
• An inverse heat conduction problem with heat flux measurements
• Reconstruction of the heat transfer coefficient at the interface of a bi-material
• Équations différentielles abstraites
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On some classes of inverse problems of recovering the heat transfer coefficient in stratified media