A parabolic inverse problem with an unknown boundary condition

DOI10.1016/0022-0396(90)90031-JzbMath0705.35150MaRDI QIDQ917819

William Rundell, Hong-Ming Yin

Publication date: 1990

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

uniquenessunknown boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (4)

Identification of nonlinear heat transfer laws from boundary observations ⋮ Recovering of the Heat Transfer Coefficient from the Temperature Measurements ⋮ Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem ⋮ On a multiscale analysis of an inverse problem of nonlinear transfer law identification in periodic microstructure

Cites Work

• Unnamed Item
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• Remarks on the uniqueness in an inverse problem for the heat equation. II
• A class of nonlinear non-classical parabolic equations
• Remarks on the uniqueness in an inverse problem for the heat equation. I
• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• On the inverse problem for the quasilinear equation of thermal conductivity
• Geometric theory of semilinear parabolic equations
• An inverse problem for a semilinear parabolic equation
• Restoration of the boundary condition in the boundary value problem for the heat equation
• Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
• A uniqueness theorem for a class of nonlinear parabolic inverse problems
• An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem
• Uniqueness theorems for some converse problems of heat conduction

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