Boa postura analítica e Gevrey da “boa” equação de Boussinesq

Abstract

In both the line and the circle, we shall to prove that the Cauchy problem for the ``good'' Boussinesq equation is locally well-posed in a class of Gevrey functions, which includes a class of analytic functions that can be extended holomorphically in a symmetric strip of the complex plane around the x-axis. Additionally, information about the regularity of the solution in the time variable shall be provided.