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. © 2015, Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Журнал
Издательство
-
Номер выпуска
1-2
Язык
Английский
Страницы
12-20
Статус
Опубликовано
Подразделение
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Номер
-
Том
97
Год
2015
Организации
  • 1 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
Cauchy problem; interior regularity of a solution; Korteweg-de Vries equation; Zakharov-Kuznetsov equation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4597/