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  • The solution of the Dirichlet problem for the Laplace equation is looked for in the form of the sum of a single layer and a double layer potentials with the same density f. The original problem is reduced to the solving of the integral equation with an unknown density f. The solution f of this integral equation is given by the Neumann series.
  • The solution of the Dirichlet problem for the Laplace equation is looked for in the form of the sum of a single layer and a double layer potentials with the same density f. The original problem is reduced to the solving of the integral equation with an unknown density f. The solution f of this integral equation is given by the Neumann series. (en)
  • Je hledáno řešení Dirichletovy úlohy pro Laplaceovu rovnici ve tvaru součtu potenciálu jednoduché vrstvy a potenciálu dvojvrstvy se stejnou hustotou f. Původní problém je redukován na řešení integrální rovnice s neznámou hustotou f. Řešení f této integrální rovnice je dáno Neumannovou řadou. (cs)
Title
  • Solution of the Dirichlet Problem with L^p Boundary Condition
  • Solution of the Dirichlet Problem with L^p Boundary Condition (en)
  • Řešení Dirichletovy úlohy s L^p hraniční podmínkou (cs)
skos:prefLabel
  • Solution of the Dirichlet Problem with L^p Boundary Condition
  • Solution of the Dirichlet Problem with L^p Boundary Condition (en)
  • Řešení Dirichletovy úlohy s L^p hraniční podmínkou (cs)
skos:notation
  • RIV/68407700:21220/08:02150591!RIV09-MSM-21220___
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  • RIV/68407700:21220/08:02150591
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  • Dirichlet problem; Laplace equation; integral equation method (en)
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  • Kragujevac Journal of Mathematics
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  • Medková, Dagmar
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