On the harmonic Dirichlet problem on a two-dimensional domain with cuts

DOI10.1134/S1064562407040059zbMath1155.35326OpenAlexW2088158743MaRDI QIDQ2377505

P. A. Krutitskii

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407040059

zbMATH Keywords

weak solutionclassical solutiondomain with cutsharmonic Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• The mixed harmonic problem in an exterior cracked domain with Dirichlet condition on cracks
• The Dirichlet-Neumann problem for the dissipative Helmholtz equation in a 2-D cracked domain with the Neumann condition on cracks
• The 2-dimensional Dirichlet problem in an external domain with cuts
• The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts
• The integral representation for a solution of the 2‐d Dirichlet problem with boundary data on closed and open curves
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