On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness
Year: 2023
Type: preprint
Abstract: In this paper we consider a class of $p$-evolution equations of arbitrary order with variable coefficients depending on time and space variables $(t,x)$. We prove necessary conditions on the decay rates of the coefficients for the well-posedness of the related Cauchy problem in Gevrey spaces.
Source: arXiv (Cornell University)
Authors: Junior, Alexandre Arias, Ascanelli, Alessia, Cappiello, Marco
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386655709