The Cauchy problem for Laplace's equation

DOI10.1007/BF00970903zbMath0787.31006MaRDI QIDQ1204734

Alexandre A. Shlapunov

Publication date: 18 March 1993

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

zbMATH Keywords

necessary and sufficient conditionsharmonic continuation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (max. 100)

On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximation and Carleman formulas for solutions to parabolic Lamé-type operators in cylindrical domains ⋮ On the continuation of a solution of the linearized stationary Navier-Stokes equations ⋮ On the Cauchy problem for operators with injective symbols in the spaces of distributions ⋮ Solvability of the Cauchy problem for the 3D system of mathematical theory of thermoelasticity ⋮ The Cauchy problem in Sobolev spaces for Dirac operators

Cites Work

• Potential techniques for boundary value problems on \(C^1\)-domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Cauchy problem for Laplace's equation