A kind of operator regularization method for Cauchy problem of the Helmholtz equation in a multi-dimensional case

DOI10.1080/00207160.2020.1819987zbMath1479.35841OpenAlexW3083899485MaRDI QIDQ5031273

Xiufang Feng, Shangqin He

Publication date: 18 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2020.1819987

zbMATH Keywords

Cauchy problemerror estimateHelmholtz equationmulti-dimensionaloperator regularization method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Inequalities for sums, series and integrals (26D15) Connections of harmonic functions with differential equations in higher dimensions (31B35) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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