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Vietnam Journal of Mathematics 34:1(2006) 109-128

 On the Hyperbolicity of Some Systems of Nonlinear First-Order Partial Differential Equations

Ha Tien Ngoan and Nguyen Thi Nga

Abstract.  In this paper we study the hyperbolicity of some normal systems of first-order nonlinear partial differential equations, to which some multidimensional Monge-Ampère equations have been reduced in [8] (H. T. Ngoan and N. T. Nga, On the Cauchy problem for hyperbolic Monge Ampère equation, Acta Math. Vietnam. 29 (2004), 281--298). We prove that when the dimension n 5 all these systems are weakly hyperbolic.

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