Inverse problem for the heat equation with two unknown coefficients

DOI10.46698/L6995-7714-5336-SMaRDI QIDQ6497113

M. R. Ishmeev

Publication date: 6 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

heat equationinverse problemasymptoticsrapidly oscillating coefficients

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20)

Cites Work

• Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation
• The averaging method in the convection problem with high-frequency oblique vibrations
• Asymptotic expansion of the solution to the problem of vibrational convection
• Inverse problems for a one-dimensional nonlinear stationary equation
• Recovery of a rapidly oscillating source in the heat equation from solution asymptotics
• Elements of the theory of inverse problems
• Parabolic equations with large parameter. Inverse problems
• Direct and inverse asymptotic problems with high-frequency terms
• A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS

This page was built for publication: Inverse problem for the heat equation with two unknown coefficients