A convolution method for inverse heat conduction problems

DOI10.1007/BF02088005zbMath0674.35087MaRDI QIDQ3828432

David S. Gilliam, Clyde F. Martin, Bernard A. Mair

Publication date: 1988

Published in: Mathematical Systems Theory (Search for Journal in Brave)

zbMATH Keywords

radiation boundary conditionsconvolution methodanalytic methodfinite energy boundary dataintegration of the interior temperature

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Cites Work

• Discrete observability and Dirichlet series
• Discrete observability of the heat equation on bounded domains
• Observability and determination of surface temperature Part 1
• Controllability for Partial Differential Equations of Parabolic Type
• The Inverse Problem in Transient Heat Conduction
• Classical potential theory and its probabilistic counterpart.
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