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Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). (French) Zbl 0639.35054

This paper studies the propagation of conormal singularities of solutions of nonlinear hyperbolic differential equations in the real analytic framework. Minimal assumptions of a priori regularity ensure that no shock wave can appear.
The three main theorems deal with the following cases: the semilinear and quasilinear evolutions of an analytic simple wave, and the second order semilinear interaction of two analytic simple waves.
Reviewer: P.Gerard

MSC:

35L75 Higher-order nonlinear hyperbolic equations
35A20 Analyticity in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
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