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Réflexion transverse des singularités pour un problème aux limites non linéaire d’ordre 2. (Transversal reflexion of singularities for a second order nonlinear boundary value problem). (French) Zbl 0601.35005
We prove that, for an \(H^{s+2}\) solution of a second order nonlinear Dirichlet problem, the microlocal singularities of order less than \(2s+1- (n/2)\) travelling along the bicharacteristics which are transversal to the boundary, are reflected as in the linear case.

MSC:
35A20 Analyticity in context of PDEs
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
35G30 Boundary value problems for nonlinear higher-order PDEs
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