Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation

DOI10.1080/00207160.2012.693174zbMath1255.65109OpenAlexW2015360248MaRDI QIDQ4903517

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Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.693174

zbMATH Keywords

Cauchy problemill-posed problemsemi-linear elliptic equationconvergence estimatemodified quasi-boundary value method

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for integral equations (65R30) Volterra integral equations (45D05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems for integral equations (45Q05) Semilinear elliptic equations (35J61)

Related Items (7)

Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation ⋮ The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation ⋮ A modified quasi-boundary value method for an abstract ill-posed biparabolic problem ⋮ On a final value problem for the time-fractional diffusion equation with inhomogeneous source ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ Recovering the space source term for the fractional-diffusion equation with Caputo-Fabrizio derivative ⋮ Corrigendum on ‘Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation’ (Int. J. Comput. Math., 89(12):1689–1703, 2012. 10.1080/00207160.2012.693174)

Cites Work

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• A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces
• Unique continuation on a line for harmonic functions
• Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation
• Inverse problems for partial differential equations

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