Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 33-38
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A. S. Blagoveshchenskii; A. A. Novitskaya. On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 33-38. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a2/
@article{ZNSL_2002_285_a2,
author = {A. S. Blagoveshchenskii and A. A. Novitskaya},
title = {On behavior of the solution of a generalized {Cauchy} problem for the wave equation at infinity},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {33--38},
year = {2002},
volume = {285},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a2/}
}
TY - JOUR
AU - A. S. Blagoveshchenskii
AU - A. A. Novitskaya
TI - On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 33
EP - 38
VL - 285
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a2/
LA - ru
ID - ZNSL_2002_285_a2
ER -
%0 Journal Article
%A A. S. Blagoveshchenskii
%A A. A. Novitskaya
%T On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 33-38
%V 285
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a2/
%G ru
%F ZNSL_2002_285_a2
We prove an asymptotic formula for a Cauchy problem for the wave equation for a point $(x,t)$ moving to infinity in a characteristic direction. Initial data are generalized functions with a compact support.
