arXiv subjects

Evan Witz

Publications and source records attributed to Evan Witz.

2 recordsLinked to original sources

arXiv2019

Revisited bilinear Schr\"{o}dinger estimates with applications to generalized Boussinesq equations

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 Schr\"{o}dinger equation. Moreover, we propose a novel, automated procedure to handle the summation argument for these bounds.

math.AP↗

arXiv2019

Improved global well-posedness for defocusing sixth-order Boussinesq equations

This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani for the case when the nonlinear term is cubic.

math.AP↗