Hyperbolicity of two by two systems with two independent variables
Journées équations aux dérivées partielles (1998), article no. 10, 12 p.
Voir la notice de l'acte provenant de la source Numdam
We study the simplest system of partial differential equations: that is, two equations of first order partial differential equation with two independent variables with real analytic coefficients. We describe a necessary and sufficient condition for the Cauchy problem to the system to be C infinity well posed. The condition will be expressed by inclusion relations of the Newton polygons of some scalar functions attached to the system. In particular, we can give a characterization of the strongly hyperbolic systems which includes a fortiori symmetrizable systems.
@incollection{JEDP_1998____A10_0,
author = {Nishitani, Tatsuo},
title = {Hyperbolicity of two by two systems with two independent variables},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {10},
pages = {1--12},
publisher = {Universit\'e de Nantes},
year = {1998},
doi = {10.5802/jedp.539},
mrnumber = {2000k:35004},
zbl = {01808719},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.539/}
}
TY - JOUR AU - Nishitani, Tatsuo TI - Hyperbolicity of two by two systems with two independent variables JO - Journées équations aux dérivées partielles PY - 1998 SP - 1 EP - 12 PB - Université de Nantes UR - http://geodesic.mathdoc.fr/articles/10.5802/jedp.539/ DO - 10.5802/jedp.539 LA - en ID - JEDP_1998____A10_0 ER -
%0 Journal Article %A Nishitani, Tatsuo %T Hyperbolicity of two by two systems with two independent variables %J Journées équations aux dérivées partielles %D 1998 %P 1-12 %I Université de Nantes %U http://geodesic.mathdoc.fr/articles/10.5802/jedp.539/ %R 10.5802/jedp.539 %G en %F JEDP_1998____A10_0
Nishitani, Tatsuo. Hyperbolicity of two by two systems with two independent variables. Journées équations aux dérivées partielles (1998), article no. 10, 12 p.. doi: 10.5802/jedp.539
Cité par Sources :