Quasi-linear symmetric hyperbolic Fuchsian systems in several space   dimensions
  We establish existence and uniqueness results for the singular initial value problem associated with a class of quasilinear, symmetric hyperbolic, partial differential equations of Fuchsian type in several space dimensions. This is an extension of earlier work by the authors for the same problem in one space dimension. 
Ellery Ames, Florian Beyer, James Isenberg, and Philippe G. LeFloch
gr-qc math.AP