Determination of a spacewise dependent heat source in biharmonic heat equation from final temperature measurements

DOI10.30546/2409-4994.2024.50.1.126zbMATH Open1542.35407MaRDI QIDQ6559087

Mansur I. Ismailov

Publication date: 21 June 2024

Published in: Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

zbMATH Keywords

Fourier methodbiharmonic heat equationspace-dependent heat source

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Integro-partial differential equations (35R09)

Cites Work

• On a class of problems of determining the temperature and density of heat sources given initial and final temperature
• Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
• Conditional stability in determination of force terms of heat equations in a rectangle
• One nonlocal problem of determination of the temperature and density of heat sources
• Identification of a multi-dimensional space-dependent heat source from boundary data
• Determination of a spacewise dependent heat source
• Parabolic equations with an unknown absorption coefficient
• Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Determination of an Unknown Heat Source from Overspecified Boundary Data
• On the eigenvalues and eigenfunctions of elastic plates

This page was built for publication: Determination of a spacewise dependent heat source in biharmonic heat equation from final temperature measurements