Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 390-397
Citer cet article
L. A. Kalyakin. Perturbation of a singular solution to the Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 390-397. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a8/
@article{TMF_1999_118_3_a8,
author = {L. A. Kalyakin},
title = {Perturbation of a singular solution to the {Liouville} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {390--397},
year = {1999},
volume = {118},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a8/}
}
TY - JOUR
AU - L. A. Kalyakin
TI - Perturbation of a singular solution to the Liouville equation
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1999
SP - 390
EP - 397
VL - 118
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a8/
LA - ru
ID - TMF_1999_118_3_a8
ER -
%0 Journal Article
%A L. A. Kalyakin
%T Perturbation of a singular solution to the Liouville equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 390-397
%V 118
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a8/
%G ru
%F TMF_1999_118_3_a8
We construct an asymptotic (with respect to a small parameter) solution of the Cauchy problem for the perturbed Liouville equation in the case where the unperturbed solution has singularities on timelike lines. We propose a modification of the Krylov–Bogoliubov method that, in particular, allows us to find the asymptotic corrections to the singularity lines.
