We consider the transmission problem in Sobolev Slobodetskii spaces for two model general elliptic pseudo differentialequations in a plane, where a one equation is given inside a corner,and another one is outside. Starting from general solutions of theseequations we consider certain transmission conditions on angle sides.For some cases this transmission problem was reduced to an equivalentsystem of one-dimensional linear integral equations.
@article{331,
title = {On some transmission problems in a plane corner},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.331},
language = {EN},
url = {http://dml.mathdoc.fr/item/331}
}
Vasilyev, Vladimir B. On some transmission problems in a plane corner. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.331. http://gdmltest.u-ga.fr/item/331/