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On the general form of the Monge-Ampère system. (Sur la forme générale du système de Monge-Ampère.) (French) Zbl 0883.35023

Summary: The first-order Monge-Ampère systems are determined by the linearity of the Cauchy problem. Each equation is a linear function of all minors of the gradient matrix of the field.

MSC:

35F20 Nonlinear first-order PDEs
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