On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness
Analysis of PDEs
2023-09-12 v1
Abstract
In this paper we consider a class of -evolution equations of arbitrary order with variable coefficients depending on time and space variables . We prove necessary conditions on the decay rates of the coefficients for the well-posedness of the related Cauchy problem in Gevrey spaces.
Cite
@article{arxiv.2309.05571,
title = {On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness},
author = {Alexandre Arias Junior and Alessia Ascanelli and Marco Cappiello},
journal= {arXiv preprint arXiv:2309.05571},
year = {2023}
}
Comments
20 pages