Weakly Hyperbolic Systems by Symmetrization
Analysis of PDEs
2016-04-19 v2
Abstract
We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE. The proof not only gives a priori estimates straightforward so simply but also clarifies some effects coming from the spectral structures other than the multiplicities of the eigenvalues.
Cite
@article{arxiv.1508.03945,
title = {Weakly Hyperbolic Systems by Symmetrization},
author = {F. Colombini and T. Nishitani and J. Rauch},
journal= {arXiv preprint arXiv:1508.03945},
year = {2016}
}