Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 122-144
Citer cet article
A. Yu. Kokotov; P. Neittaanmäki; B. A. Plamenevskii. Difraction on a cone: the asymptotics of the solutions near the vertex. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 122-144. http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a5/
@article{ZNSL_1999_259_a5,
author = {A. Yu. Kokotov and P. Neittaanm\"aki and B. A. Plamenevskii},
title = {Difraction on a cone: the asymptotics of the solutions near the vertex},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {122--144},
year = {1999},
volume = {259},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a5/}
}
TY - JOUR
AU - A. Yu. Kokotov
AU - P. Neittaanmäki
AU - B. A. Plamenevskii
TI - Difraction on a cone: the asymptotics of the solutions near the vertex
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 122
EP - 144
VL - 259
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a5/
LA - ru
ID - ZNSL_1999_259_a5
ER -
%0 Journal Article
%A A. Yu. Kokotov
%A P. Neittaanmäki
%A B. A. Plamenevskii
%T Difraction on a cone: the asymptotics of the solutions near the vertex
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 122-144
%V 259
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a5/
%G ru
%F ZNSL_1999_259_a5
The mixed problem for the wave equation in a cone $K\subset\mathbb R^n$ is considered. We obtain the asymptotic formulas for the solutions and the Green function near the vertex of the $K$. The properties of the coefficients in the asymptotics connected with the finiteness of the propagation speed are clarified.
