English

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis

Analysis of PDEs 2020-01-15 v1

Abstract

In this paper we continue the study of non-diagonalisable hyperbolic systems with variable multiplicity started by the authors in \cite{Garetto2018}. In the case of space dependent coefficients, we prove a representation formula for solutions that allows us to derive results of regularity and propagation of singularities.

Keywords

Cite

@article{arxiv.2001.04709,
  title  = {Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis},
  author = {Claudia Garetto and Christian Jäh and Michael Ruzhansky},
  journal= {arXiv preprint arXiv:2001.04709},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-23T13:10:38.233Z