The Holderian solution and its singularity propagation for a class of system of quasi-linear partial differential equations

摘要

We first discuss the existence of the C~p solution for (E), and then study the propagation of Holderian singularity for the solution— both the microlocal and the conormal types, By the way, the proof of existence, provided in this note is rather simple. As for the Holderian microlocal propagation, the case of a single equation has been studied in reference [2].