A Trilinear Strichartz estimate for the modified Zakharov-Kuznetsov equation with application in well-posedness
Abstract
This paper is focused on the modified Zakharov-Kusnetsov equation. We prove the associated Cauchy problem is locally (in time) well-posed in Hs( × ) for s >1. The new ingredient in this work is a trilinear estimate in the context of Bourgain spaces which controls the cubic non-linearity of the modified Zakharov-Kuznetsov equation in the contraction argument.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.