Boillat, Guy On the general form of the Monge-Ampère system. (Sur la forme générale du système de Monge-Ampère.) (French) Zbl 0883.35023 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 3, 339-342 (1997). 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. Cited in 2 Documents MSC: 35F20 Nonlinear first-order PDEs Keywords:linearization; characteristic surfaces PDFBibTeX XMLCite \textit{G. Boillat}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 3, 339--342 (1997; Zbl 0883.35023) Full Text: DOI