Geodesic
On asymptotic behavior of non-stationary wave field singularities near the space-time caustic
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 98-108

Voir la notice de l'article provenant de la source Math-Net.Ru

Cauchy problem for wave equation in the case of discontinuity on the initial front is investigated. The discontinuity is given by homogeneous generalized function (degree $\lambda$). The transformation of initial front passed the space-time caustic is examined and as a result uniform wave field asymptotics expressed in terms of polynomial Legendre is obtained. 
@article{ZNSL_1986_156_a8,
     author = {N. Ya. Kirpichnikova},
     title = {On asymptotic behavior of non-stationary wave field singularities near the space-time caustic},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {98--108},
     publisher = {mathdoc},
     volume = {156},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/}
}
TY  - JOUR
AU  - N. Ya. Kirpichnikova
TI  - On asymptotic behavior of non-stationary wave field singularities near the space-time caustic
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1986
SP  - 98
EP  - 108
VL  - 156
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/
LA  - ru
ID  - ZNSL_1986_156_a8
ER  - 
%0 Journal Article
%A N. Ya. Kirpichnikova
%T On asymptotic behavior of non-stationary wave field singularities near the space-time caustic
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 98-108
%V 156
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/
%G ru
%F ZNSL_1986_156_a8
N. Ya. Kirpichnikova. On asymptotic behavior of non-stationary wave field singularities near the space-time caustic. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 98-108. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/