Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation

DOI10.1016/0022-247X(90)90354-IzbMath0715.35083OpenAlexW1995903103MaRDI QIDQ752330

Salvador Pérez-Esteva, John R. Cannon

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90354-i

zbMATH Keywords

stabilityunknown heat source

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (5)

Determine the special term of a two-dimensional heat source ⋮ An inverse problem, area, and Morse theory ⋮ Determination of a two-dimensional heat source: uniqueness, regularization and error estimate ⋮ Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation ⋮ A solution technique for random and nonlinear inverse heat conduction problems

Cites Work

• An inverse problem, area, and Morse theory
• A Cauchy problem for the heat equation
• Determination of an Unknown Heat Source from Overspecified Boundary Data
• An inverse problem for the heat equation
• Unnamed Item

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