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math.AP2019
Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations
Dan-Andrei Geba, Evan Witz
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 equat…
math.AP2019
Improved global well-posedness for defocusing sixth-order Boussinesq equations
Dan-Andrei Geba, Evan Witz
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 fo…
math.AP2019
Almost optimal local well-posedness for improved modified Boussinesq equations
Dan-Andrei Geba, Bai Lin
In this article, we investigate a class of improved modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\i…