For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.
%0 Journal Article
%1 medkova1998solution
%A Medková, Dagmar
%D 1998
%J Applications of Mathematics
%K 31b10-integral-representations-operators-equation-methods-in-higher-dimensions 35j05-laplacian-operator-helmholtz-poisson-equation 35j25-bvps-2nd-order-elliptic-equations
%N 2
%P 133--155
%R 10.1023/A:1023267018214
%T Solution of the Robin problem for the Laplace equation
%U https://link.springer.com/article/10.1023/A:1023267018214
%V 43
%X For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.
@article{medkova1998solution,
abstract = {For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.},
added-at = {2021-04-14T06:03:37.000+0200},
author = {Medkov{\'a}, Dagmar},
biburl = {https://www.bibsonomy.org/bibtex/23a48cffd3e816ae1a7a919c7f0b59d07/gdmcbain},
day = 01,
doi = {10.1023/A:1023267018214},
interhash = {665363d632c319bd1e820484e9b39cb2},
intrahash = {3a48cffd3e816ae1a7a919c7f0b59d07},
issn = {1572-9109},
journal = {Applications of Mathematics},
keywords = {31b10-integral-representations-operators-equation-methods-in-higher-dimensions 35j05-laplacian-operator-helmholtz-poisson-equation 35j25-bvps-2nd-order-elliptic-equations},
month = apr,
number = 2,
pages = {133--155},
timestamp = {2021-04-14T06:03:37.000+0200},
title = {Solution of the Robin problem for the Laplace equation},
url = {https://link.springer.com/article/10.1023/A:1023267018214},
volume = 43,
year = 1998
}