Geodesic
On the Regularity of Solutions of the Cauchy Problem for the Zakharov--Kuznetsov Equation in H\"older Norms
Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 13-22

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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.
Keywords: Zakharov–Kuznetsov equation, Cauchy problem, interior regularity of a solution, Korteweg–de Vries equation. 
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     author = {A. P. Antonova and A. V. Faminskii},
     title = {On the {Regularity} of {Solutions} of the {Cauchy} {Problem} for the {Zakharov--Kuznetsov} {Equation} in {H\"older} {Norms}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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A. P. Antonova; A. V. Faminskii. On the Regularity of Solutions of the Cauchy Problem for the Zakharov--Kuznetsov Equation in H\"older Norms. Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 13-22. http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a1/