Solution of the Dirichlet problem for the Laplace equation.

DOI10.1023/A:1022209421576zbMath1060.35041OpenAlexW1554004115MaRDI QIDQ1775162

Dagmar Medková

Publication date: 4 May 2005

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33030

zbMATH Keywords

Dirichlet problemLaplace equationdouble layer potentialboundary behavioursingle layer potentialnon-smooth boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (8)

The Robin problem for the Laplace equation in a three-dimensional starlike domain ⋮ Boundary value problems for the Stokes equations with jumps in open sets ⋮ The harmonic dirichlet problem for a cracked domain with jump conditions on cracks ⋮ On the mixed problem for harmonic functions in a 2-D exterior cracked domain with Neumann condition on cracks ⋮ Fourier solution of the wave equation for a star-like-shaped vibrating membrane ⋮ Lebesgue's criticism of Carl Neumann's method in potential theory ⋮ Boundedness of the solution of the third problem for the Laplace equation ⋮ The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface

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