Alabidi, Ali 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 C. R. Acad. Sci., Paris, Sér. I 300, 287-290 (1985). 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. Cited in 5 Documents 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 Keywords:transversal reflexion of singularities; microlocal singularities; bicharacteristics PDFBibTeX XMLCite \textit{A. Alabidi}, C. R. Acad. Sci., Paris, Sér. I 300, 287--290 (1985; Zbl 0601.35005)