Decay of solutions to damped Korteweg-de Vries type equation

In the present paper we establish results concerning the decay of the energy related to the damped Korteweg-de Vries equation posed on infinite domains. We prove the exponential decay rates of the energy when a initial value problem and a localized dissipative mechanism are in place. If this mechanism is effective in the whole line, we get a similar result in H k-level, k ∈ N. In addition, the decay of the energy regarding a initial boundary value problem posed on the right half-line, is obtained considering convenient a smallness condition on the initial data but a more general dissipative effect. © Springer Science+Business Media, LLC 2011.

Авторы
Cavalcanti M.M.1 , Cavalcanti V.N.D.1 , Faminskii A. 2 , Natali F.1
Редакторы
-
Издательство
-
Номер выпуска
2
Язык
Английский
Страницы
221-251
Статус
Опубликовано
Подразделение
-
Номер
-
Том
65
Год
2012
Организации
  • 1 Department of Mathematics, State University of Maringá, Avenida Colombo, 5790, CEP 87020-900, Maringá, PR, Brazil
  • 2 Faculty of Science, Peoples' Friendship University of Russia, Miklukho-Maklai str. 6, Moscow, 117198, Russian Federation
Ключевые слова
Decay of solutions; Dissipative mechanism; Korteweg-de Vries equation; Localized damping
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2332/