Regularized solutions of a Cauchy problem for the Laplace equation in an irregular strip

DOI10.1216/JIEA/1181075771zbMath0801.65092OpenAlexW2055925138MaRDI QIDQ1325738

V. V. Thanh, Dang Dinh Ang, Dinh Ngoc Thanh

Publication date: 4 December 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075771

zbMATH Keywords

error estimatesCauchy problemLaplace equationill-posed problemTikhonov regularisation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Cites Work

• SOME PROBLEMS OF THE QUALITATIVE THEORY OF SECOND ORDER ELLIPTIC EQUATIONS (CASE OF SEVERAL INDEPENDENT VARIABLES)
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