Uniqueness and free interpolation for logarithmic potentials and the Cauchy problem for the Laplace equation in \(\mathbb{R}^ 2\)

DOI10.1007/BF01895831zbMath0833.31001OpenAlexW2321522050MaRDI QIDQ1895258

V. P. Khavin, M. Giesecke, Aleksei B. Aleksandrov, Jean Bourgain, Yu. Ya. Vymenets

Publication date: 12 March 1996

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58200

zbMATH Keywords

uniquenessCauchy problemill-posedboundary value problems for harmonic functions on the unit disc

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (5)

Parameter identification in isotropic linear elasticity using the boundary element method ⋮ On sets of uniqueness for harmonic functions in the unit circle ⋮ Victor Petrovich Havin, A Life Devoted to Mathematics ⋮ On the uniqueness theorem of Holmgren ⋮ Uniqueness results for inverse Robin problems with bounded coefficient

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• Real functions
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• The interpolating sets for \(A^ \infty\)
• Sets of uniqueness for functions regular in the unit circle
• A Criterion for the Nonporosity of a General Cantor Set
• Porous Sets and Quasisymmetric Maps

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