On the Regularity of Solutions of the Cauchy Problem for the Zakharov–Kuznetsov Equation in Hölder Norms

The problem of the interior regularity of generalized solutions of the Cauchy problem for the Zakharov–Kuznetsov equation is studied. The existence of Hölder-continuous derivatives of given solutions is established. The study is based on the properties of the fundamental solution of the corresponding linearized equation.