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

Dagmar Medková. "The successive approximation method for the Dirichlet problem in a planar domain." Applicationes Mathematicae 35.2 (2008): 177-192. <http://eudml.org/doc/279950>.

@article{DagmarMedková2008,
abstract = {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.},
author = {Dagmar Medková},
journal = {Applicationes Mathematicae},
keywords = {Dirichlet problem; Laplace equation; integral equation method},
language = {eng},
number = {2},
pages = {177-192},
title = {The successive approximation method for the Dirichlet problem in a planar domain},
url = {http://eudml.org/doc/279950},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Dagmar Medková
TI - The successive approximation method for the Dirichlet problem in a planar domain
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 2
SP - 177
EP - 192
AB - 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.
LA - eng
KW - Dirichlet problem; Laplace equation; integral equation method
UR - http://eudml.org/doc/279950
ER -