Boundary value problems for the stationary Kawahara equation

被引：15
|
作者：
Doronin, Gleb G. [1 ]
Larkin, Nikolai A. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期
关键词：
nonlinear boundary value problems; odd-order differential equations; existence and uniqueness; asymptotics;
D O I：
10.1016/j.na.2007.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with boundary value problems in a bounded domain for the stationary one-dimensional Kawahara equation. For reasonable boundary conditions we prove existence and uniqueness of a strong solution and its asymptotics when the coefficient of a higher order derivative approaches zero. Formulations of well-posed and ill-posed problems for odd-order equations are discussed. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：1655 / 1665
页数：11
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