The Dirichlet problem for the 2D-Laplace equation in a domain with cracks without compatibility conditions at tips of the cracks

DOI10.1155/2012/269607zbMath1259.35083OpenAlexW2150198268WikidataQ58705646 ScholiaQ58705646MaRDI QIDQ1925550

P. A. Krutitskii

Publication date: 18 December 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/269607

zbMATH Keywords

Dirichlet problem2D-Laplace equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15)

Related Items (2)

The Dirichlet problem for the equation \(\Delta u - k^2u = 0\) in the exterior of nonclosed Lipschitz surfaces ⋮ Dirichlet problem for the Helmholtz equation in an exterior two-dimensional domain with cuts without matching conditions at the cut endpoints

Cites Work

• The mixed harmonic problem in an exterior cracked domain with Dirichlet condition on cracks
• The 2-dimensional Dirichlet problem in an external domain with cuts
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Elliptic Partial Differential Equations of Second Order
• 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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