English

On the well-posedness of weakly hyperbolic equations with time dependent coefficients

Analysis of PDEs 2012-10-24 v2

Abstract

In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lower order terms and the number of multiple roots. We also derive the corresponding well-posedness results in the space of Gevrey Beurling ultradistributions.

Keywords

Cite

@article{arxiv.1107.2565,
  title  = {On the well-posedness of weakly hyperbolic equations with time dependent coefficients},
  author = {Claudia Garetto and Michael Ruzhansky},
  journal= {arXiv preprint arXiv:1107.2565},
  year   = {2012}
}