The integral representation for a solution of the 2‐d Dirichlet problem with boundary data on closed and open curves

DOI10.1112/S0025579300015941zbMath1129.35342OpenAlexW2101749829WikidataQ113788489 ScholiaQ113788489MaRDI QIDQ4786414

P. A. Krutitskii

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015941

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Fredholm integral equations (45B05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (4)

On the harmonic Dirichlet problem on a two-dimensional domain with cuts ⋮ The Dirichlet problem for the 2D-Laplace equation in a domain with cracks without compatibility conditions at tips of the cracks ⋮ On existence of a classical solution and non-existence of a weak solution to the Dirichlet problem in a planar domain with slits for Laplacian ⋮ On the properties of solutions of the harmonic Dirichlet problem in a two-dimensional domain with cuts

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• The third boundary value problem in potential theory for domains with a piecewise smooth boundary
• Wave propagation in a 2-D external domain bounded by closed and open curves
• Solution of the Neumann problem for the Laplace equation
• The Fredholm Method in Potential Theory

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