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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
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

35F20 Nonlinear first-order PDEs
35G20 Nonlinear higher-order PDEs
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs