Quasi-linear symmetric hyperbolic Fuchsian systems in several space dimensions

Ellery Ames; Florian Beyer; James Isenberg; Philippe G. LeFloch

Quasi-linear symmetric hyperbolic Fuchsian systems in several space dimensions

General Relativity and Quantum Cosmology 2012-09-06 v3 Analysis of PDEs

Authors: Ellery Ames , Florian Beyer , James Isenberg , Philippe G. LeFloch

Abstract

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.

Keywords

Fuchsian systems symmetric hyperbolic quasilinear PDE singular initial value problem several space dimensions

Cite

@article{arxiv.1205.2166,
  title  = {Quasi-linear symmetric hyperbolic Fuchsian systems in several space dimensions},
  author = {Ellery Ames and Florian Beyer and James Isenberg and Philippe G. LeFloch},
  journal= {arXiv preprint arXiv:1205.2166},
  year   = {2012}
}