A field source which is given by an incident wave in a neighborhood of an inhomogeneous body (in $\bold R^2) zields an integral equation on the boundary of $\Omega$. This integral equation may serve as a boundary condition for the field equation on $\Omega$. If $\Omega$ is a circle then the existence and uniqueness of the new boundary value problem is proved and an algorithm for the approximate solution is proposed.
@article{104323,
author = {Vladim\'\i r Dr\'apal\'\i k and Vladim\'\i r Janovsk\'y},
title = {On a potential problem with incident wave as a field source},
journal = {Applications of Mathematics},
volume = {33},
year = {1988},
pages = {443-455},
zbl = {0694.35049},
mrnumber = {0973239},
language = {en},
url = {http://dml.mathdoc.fr/item/104323}
}
Drápalík, Vladimír; Janovský, Vladimír. On a potential problem with incident wave as a field source. Applications of Mathematics, Tome 33 (1988) pp. 443-455. http://gdmltest.u-ga.fr/item/104323/
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