Local well-posedness and global analyticity for solutions of a generalized 0-equation
Analysis of PDEs
2022-09-08 v4
Abstract
In this work we study the Cauchy problem in Gevrey spaces for a generalized class of equations that contains the case of the -equation. For the generalized equation, we prove that it is locally well-posed for initial data in Gevrey spaces. Moreover, as we move to global well-posedness, we show that for a particular choice of the parameter in the equation the local solution is global analytic in both time and spatial variables.
Keywords
Cite
@article{arxiv.2008.13280,
title = {Local well-posedness and global analyticity for solutions of a generalized 0-equation},
author = {Priscila Leal da Silva},
journal= {arXiv preprint arXiv:2008.13280},
year = {2022}
}