Progressing wave solutions to quasi-linear systems mixed problems (Q1344117)

The author studied the singularity reflection of solutions to mixed problems of \(2 \times 2\) quasilinear hyperbolic systems in multidimensional space. The singularity is described by conormal distributions. If a progressing wave carrying weak singularities hits the boundary transversally, then the singularity will be reflected and propagate along the other characteristic surface. Furthermore, the solution is conormal with respect to the union of all these surfaces.