The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes
Analysis of PDEs
2025-04-07 v3
Abstract
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower order terms for large, we prove a well-posedness result in Gevrey-type spaces.
Cite
@article{arxiv.2407.18630,
title = {The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes},
author = {Alexandre Arias Junior and Alessia Ascanelli and Marco Cappiello and Eliakim Cleyton Machado},
journal= {arXiv preprint arXiv:2407.18630},
year = {2025}
}
Comments
31 pages