The successive approximation method for the Dirichlet problem in a planar domain

• Autorzy: Dagmar Medková
• Języki publikacji: EN

Abstrakty

EN

The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. The boundary conditions are continuous or p-integrable functions. It is proved that a solution of the corresponding integral equation can be obtained using the successive approximation method.

Kategorie tematyczne

• 35J25: Boundary value problems for second-order elliptic equations
• 65N38: Boundary element methods
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
• 31A10: Integral representations, integral operators, integral equations methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 2
• Strony: 177-192

Daty

wydano

2008

Twórcy

autor

Dagmar Medková

• Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Identyfikatory

DOI

10.4064/am35-2-4