The Fourier restriction norm method for the Zakharov-Kuznetsov equation

2013/02/08 by Axel Grünrock, Sebastian Herr · 2 citations
Mathematics · #math.AP #msc:35Q53

paper · pdf · doi:10.3934/dcds.2014.34.2061

published as Discrete Contin. Dyn. Syst. - Series A (2014), Vol. 34, No. 5, 2061-2068

arxiv created 2013/02/08 · arxiv updated 2013/10/23

Abstract

The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in H^s(R²) for all s>1/2 by using the Fourier restriction norm method and bilinear refinements of Strichartz type inequalities.

Cited by

• A Modified Center-of-Mass Conservation Law in Finite-Domain Simulations of the Zakharov--Kuznetsov Equation
• On a two-dimensional Camassa-Holm-Zakharov-Kuznetsov equation