Recovery of harmonic functions from partial boundary data respecting internal pointwise values

DOI10.1515/jiip-2015-0089zbMath1366.35240OpenAlexW2323092323MaRDI QIDQ522944

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 April 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0089

zbMATH Keywords

regularization techniquesbest constrained approximationill-posed inverse problemsinterpolation in Hardy spacesLaplace PDEpartially overdetermined boundary value problemsrepresentation of analytic functions from partial boundary data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Approximation in the complex plane (30E10) Boundary value problems in the complex plane (30E25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Partial differential equations of mathematical physics and other areas of application (35Q99) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (4)

On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation ⋮ An operator theoretical approach of some inverse problems ⋮ On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts ⋮ Constrained extremal problems in $H^2$ and Carleman's formulae

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