Reduction of Boundary-Value Problems for the Laplace Equation to Boundary Equations of Calderón—Seeley Type

  • Viktor S. Ryaben’kii
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 30)


It will be shown in this chapter how to replace the Laplace equation in a domain by equivalent relations connecting the values of the desired solution \( u|_\Gamma \) and its normal derivative \( \frac{{\partial u}} {{\partial n}}\left| {_\Gamma } \right. \) on the boundary of the domain. These relations, together with the boundary conditions defining the boundary-value problem, form a system of equations for functions defined only on the boundary equivalent to the original boundary-value problem for the Laplace equation in the domain.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Viktor S. Ryaben’kii
    • 1
  1. 1.Keldysh Institute for Applied Mathematics RussianRussian Academy of SciencesMoscowRussia

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