A Sturm Liouville theorem for quadratic operator pencils
Classical Analysis and ODEs
2019-07-15 v1 Analysis of PDEs
Abstract
We establish a Sturm{Liouville theorem for quadratic operator pencils counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
Keywords
Cite
@article{arxiv.1907.05679,
title = {A Sturm Liouville theorem for quadratic operator pencils},
author = {Alim Sukhtayev and Kevin Zumbrun},
journal= {arXiv preprint arXiv:1907.05679},
year = {2019}
}