The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces
Analysis of PDEs
2026-03-23 v2
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 Gelfand-Shilov spaces.
Cite
@article{arxiv.2510.20702,
title = {The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces},
author = {Marco Cappiello and Eliakim Cleyton Machado},
journal= {arXiv preprint arXiv:2510.20702},
year = {2026}
}
Comments
27 pages