The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Gruenrock A, Herr S. The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A. 2014;34(5):2061-2068.The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in H-s(R-2) for all s > 1/2 by using the Fourier restriction norm method and bilinear refinements of Strichartz type inequalities