Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval

This paper studies nonhomogeneous initial-boundary value problems for quasilinear one-dimensional odd-order equations posed on a bounded interval. For reasonable initial and boundary conditions we prove existence and uniqueness of global weak and regular solutions. Also we show the exponential decay of the obtained solution with zero boundary conditions and right-hand side, and small initial data. © 2010 Texas State University - San Marcos.

Авторы
Faminskii A.V. 1 , Larkin N.A.2
Редакторы
-
Издательство
-
Номер выпуска
-
Язык
Английский
Страницы
1-20
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
-
Том
2010
Год
2010
Организации
  • 1 Department of Mathematics, Peoples Friendship University of Russia, Miklukho-Maklai str. 6, Moscow, 117198, Russian Federation
  • 2 Departamento de Mateḿatica, Universidade Estadual de Marinǵa, Av. Colombo 5790: Agência UEM, 87020-900, Marinǵa, PR, Brazil
Ключевые слова
Existence and uniqueness; Nonlinear boundary value problems; Odd-order differential equations
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2744/