Cauchy problem for the Laplace equation in cylinder domain

DOI10.1080/17415977.2011.613468zbMath1239.35180OpenAlexW2056615063MaRDI QIDQ2884942

Yun-Jie Ma, Chu-Li Fu

Publication date: 18 May 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.613468

zbMATH Keywords

error estimatesregularizationill-posed problemaxisymmetric Cauchy problem for the Laplace equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder

Cites Work

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• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• Numerical pseudodifferential operator and Fourier regularization
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• A simple regularization method for stable analytic continuation
• A Modified Tikhonov Regularization for Stable Analytic Continuation
• Two regularization methods for an axisymmetric inverse heat conduction problem
• The axisymmetric cauchy problem for Laplace's equation
• Determining Surface Temperatures from Interior Observations
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• An efficient analytical solution to transient heat conduction in a one-dimensional hollow composite cylinder

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