Wave fronts of solutions of some classes of non-linear partial differential equations
Banach Center Publications, Tome 27 (1992) no. 2, pp. 361-366
1. This paper is devoted to the study of wave fronts of solutions of first order symmetric systems of non-linear partial differential equations. A short communication was published in [4]. The microlocal point of view enables us to obtain more precise information concerning the smoothness of solutions of symmetric hyperbolic systems. Our main result is a generalization to the non-linear case of Theorem 1.1 of Ivriĭ [3]. The machinery of paradifferential operators introduced by Bony [1] together with an idea coming from [3], [2] are used.
@article{10_4064__27_2_361_366,
author = {P. Popivanov},
title = {Wave fronts of solutions of some classes of non-linear partial differential equations},
journal = {Banach Center Publications},
pages = {361--366},
year = {1992},
volume = {27},
number = {2},
doi = {10.4064/-27-2-361-366},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/-27-2-361-366/}
}
TY - JOUR AU - P. Popivanov TI - Wave fronts of solutions of some classes of non-linear partial differential equations JO - Banach Center Publications PY - 1992 SP - 361 EP - 366 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/-27-2-361-366/ DO - 10.4064/-27-2-361-366 LA - en ID - 10_4064__27_2_361_366 ER -
%0 Journal Article %A P. Popivanov %T Wave fronts of solutions of some classes of non-linear partial differential equations %J Banach Center Publications %D 1992 %P 361-366 %V 27 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/-27-2-361-366/ %R 10.4064/-27-2-361-366 %G en %F 10_4064__27_2_361_366
P. Popivanov. Wave fronts of solutions of some classes of non-linear partial differential equations. Banach Center Publications, Tome 27 (1992) no. 2, pp. 361-366. doi: 10.4064/-27-2-361-366
Cité par Sources :