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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.

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