3 papers
math.AP2026
Low-regularity global well-posedness theory for the generalized Zakharov-Kuznetsov equation on and polynomial growth of higher Sobolev norms
Jakob Nowicki-Koth
We address the Cauchy problem for the -generalized Zakharov-Kuznetsov equation (-gZK) posed on and on . By applying established a…
math.AP2026
A note on the well-posedness of the quartic Zakharov-Kuznetsov equation on
Jakob Nowicki-Koth
By using a bilinear smoothing estimate recently developed in [12], together with several linear Strichartz-type estimates established therein, we improve the threshold for local we…
math.AP2025
Strichartz estimates for the generalized Zakharov-Kuznetsov equation on and applications
Jakob Nowicki-Koth
In this article, we address the Cauchy problem associated with the -generalized Zakharov-Kuznetsov equation posed on . By establishing an almost op…