Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations

Abstract

<p style='text-indent:20px;'>In this paper, our goal is to improve the local well-posedness theory for certain generalized Boussinesq equations by revisiting bilinear estimates related to the Schrödinger equation. Moreover, we propose a novel, automated procedure to handle the summation argument for these bounds.</p>