Gevrey well posedness for $3$-evolution equations with variable coefficients
Analysis of PDEs
2024-03-15 v3
Abstract
We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex valued lower order terms depending both on time and space variables. Under suitable decay assumptions for on these coefficients, we prove a well posedness result in Gevrey-type spaces.
Keywords
Cite
@article{arxiv.2106.09511,
title = {Gevrey well posedness for $3$-evolution equations with variable coefficients},
author = {Alexandre Arias Junior and Alessia Ascanelli and Marco Cappiello},
journal= {arXiv preprint arXiv:2106.09511},
year = {2024}
}
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29 pages