Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation

DOI10.1134/S0965542516100067zbMath1362.35330MaRDI QIDQ506229

A. M. Denisov

Publication date: 31 January 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

heat equationinverse problemuniqueness of solutionsnonuniqueness of solutionsunknown source

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod ⋮ On determining sources with compact supports in a bounded plane domain for the heat equation ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion ⋮ Stochastic model of heat transfer in the atmospheric surface layer ⋮ Inverse problem for the heat equation with two unknown coefficients ⋮ Uniqueness of the solution of inverse initial value problems for the Burgers equation with an unknown source ⋮ The inverse problem for a mathematical model of deionization aqueous solutions ⋮ Determining the intensity variation of heat sources in the heat equation

Cites Work

• Unnamed Item
• Unnamed Item
• Determination of the unknown sources in the heat-conduction equation
• Conditional stability in determination of force terms of heat equations in a rectangle
• Source term identification in 1-D IHCP
• Problems of determining the unknown source in parabolic and hyperbolic equations
• Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
• The boundary-element method for the determination of a heat source dependent on one variable
• Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
• Uniqueness and stability of 3D heat sources
• ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
• Structural identification of an unknown source term in a heat equation
• Conditional stability in determining a heat source
• Identification of source locations in two-dimensional heat equations

This page was built for publication: Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation