Period Estimates for Autonomous Evolution Equations with Lipschitz Nonlinearities
Analysis of PDEs
2020-10-13 v1
Abstract
We derive an estimate for the minimal period of autonomous strongly damped hyperbolic problems. Our result corresponds to the works by Yorke, Busenberg et al. for ordinary differential equations as well as Robinson and Vidal-Lopez for parabolic problems. A general approach is developed for treating both hyperbolic and parabolic problems. An example of application to a class of beam equations is provided.
Keywords
Cite
@article{arxiv.2010.05829,
title = {Period Estimates for Autonomous Evolution Equations with Lipschitz Nonlinearities},
author = {Aleksander Ćwiszewski and Władysław Klinikowski},
journal= {arXiv preprint arXiv:2010.05829},
year = {2020}
}
Comments
22 pages, 0 figures