An inverse problem for the heat equation

DOI10.1090/S0002-9939-2010-10297-6zbMath1202.35344MaRDI QIDQ5893939

Tuan, V. K., Amin Boumenir

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

heat equationinverse spectral problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems for functional-differential equations (34K29) Methods of ordinary differential equations applied to PDEs (35A24)

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Cites Work

• On uniqueness in inverse problems for semilinear parabolic equations
• Computing Sturm–Liouville potentials from two spectra
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• The Recovery of Potentials from Finite Spectral Data
• The determination of a coefficient in a parabolic equation from input sources
• A finite-difference algorithm for an inverse Sturm-Liouville problem
• The BC-method in the inverse problem for the heat equation
• Numerov's method for inverse Sturm–Liouville problems
• The recovery of analytic potentials
• Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method
• Inverse problems for partial differential equations
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