Hyperbolicity of two by two systems with two independent variables
Nishitani, Tatsuo
Journées équations aux dérivées partielles, (1998), p. 1-12 / Harvested from Numdam
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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.

Publié le : 1998-01-01
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     author = {Nishitani, Tatsuo},
     title = {Hyperbolicity of two by two systems with two independent variables},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1998},
     pages = {1-12},
     mrnumber = {2000k:35004},
     zbl = {01808719},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1998____A10_0}
}

Nishitani, Tatsuo. Hyperbolicity of two by two systems with two independent variables. Journées équations aux dérivées partielles,  (1998), pp. 1-12. http://gdmltest.u-ga.fr/item/JEDP_1998____A10_0/

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