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Explicit formula for the gradient of a harmonic function from its analytic Cauchy data on the analytic curve

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Publication:1957026
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DOI10.1134/S0001434610010189zbMath1202.31002MaRDI QIDQ1957026

D. A. Platushchikhin, A. S. Demidov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

harmonic functionLaplace equationGrad-Shafranov equation\(2\pi\)-periodic functionCauchy problem, analytic curve


Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in two dimensions (31A25)


Related Items (4)

The Vishik-Lyusternik method and two problems in magnetohydrodynamics for plasma in a tokamak ⋮ Inverse boundary-value problems of Cauchy type for harmonic functions ⋮ Inverse problem for the Grad-Shafranov equation with affine right-hand side ⋮ Essentially different distributions of current in the inverse problem for the Grad-Shafranov equation




Cites Work

  • An inverse problem originating from magnetohydrodynamics




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