Sci Math | On the Cauchy problem for a quasilinear weakly hyperbolic system in two variables and applications to that for weakly hyperbolic classical Monge-Ampère equations

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On the Cauchy problem for a quasilinear weakly hyperbolic system in two variables and applications to that for weakly hyperbolic classical Monge-Ampère equations

Authors: Hà Tiến Ngoạn, Nguyễn Thị Nga,

https://doi.org/10.1142/9789812770493_0010

Publisher, magazine: ,

Publication year: 2007

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Abstract

The Cauchy problem for a normal quasilinear weakly hyperbolic system in two variables is considered. Sufficient conditions for its diagonalization are given. The local solvability of the noncharacteristic Cauchy problem for some weakly hyperbolic classical Monge-Ampère equations is proved.

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