Reconstruction of spatial heat sources in heat conduction problems

DOI10.1080/00036810500048236zbMath1274.35173OpenAlexW2027559520WikidataQ58257447 ScholiaQ58257447MaRDI QIDQ5474554

Zheng, Kewang, Wang, Ping

Publication date: 26 June 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500048236

zbMATH Keywords

Tikhonov's regularizationapproximation of unknown sources from overspecified non-smooth data

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25)

Related Items (6)

Determine the special term of a two-dimensional heat source ⋮ Detection of time-varying heat sources using an analytic forward model ⋮ Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions ⋮ Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation ⋮ Regularization approach for inverting the exponential Radon transforms (ERT) ⋮ Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions

Cites Work

• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Determination of an unknown coefficient in a nonlinear heat equation
• An inverse problem for the heat equation
• Determination of conductivity in a heat equation

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