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The solution of the third problem for the Laplace equation on planar domains with smooth boundary and inside cracks and modified jump conditions on cracks

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Publication:885576
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DOI10.1155/IJMMS/2006/91983zbMath1215.35052MaRDI QIDQ885576

Dagmar Medková

Publication date: 14 June 2007

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

Full work available at URL: https://eudml.org/doc/45093



Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74)




Cites Work

  • Integral operators in potential theory
  • Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf
  • The oblique derivative problem for the Laplace equation in a plain domain
  • Explicit solution of the jump problem for the Laplace equation and singularities at the edges
  • The jump problem for the Laplace equation
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