Chemin, Jean-Yves Localisation des singularités pour les solutions d’équations aux dérivées partielles non linéaires en dimension 2 ou à l’ordre 1. (Localization of singularities for solutions of fully non linear partial differential equations in dimension 2 or of order 1). (French) Zbl 0608.35007 C. R. Acad. Sci., Paris, Sér. I 303, 407-409 (1986). A result on microlocal ellipticity for nonlinear equations of order one and a result on regularity for nonlinear strictly hyperbolic equations in two dimensions are presented. For this purpose special function spaces defined by means of paraproducts are introduced. Reviewer: R.Racke Cited in 1 Document MSC: 35F20 Nonlinear first-order PDEs 35G20 Nonlinear higher-order PDEs 35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs Keywords:microlocal ellipticity; order one; regularity; strictly hyperbolic; paraproducts PDF BibTeX XML Cite \textit{J.-Y. Chemin}, C. R. Acad. Sci., Paris, Sér. I 303, 407--409 (1986; Zbl 0608.35007)