WELL-POSEDNESS OF BOUNDARY-VALUE PROBLEMS FOR THE LINEAR BENJAMIN-BONA-MAHONY EQUATION

被引：13
|
作者：
Vasan, Vishal [1 ]
Deconinck, Bernard [2 ]
机构：
[1] Penn State Univ, Dept Math, State Coll, PA 16802 USA
[2] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 07期
基金：
美国国家科学基金会;
关键词：
PDEs with mixed derivatives; Fokas method; LONG WAVES; MODEL; PDES;
D O I：
10.3934/dcds.2013.33.3171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new method due to Fokas for explicitly solving boundary-value problems for linear partial differential equations is extended to equations with mixed partial derivatives. The Benjamin-Bona-Mahony equation is used as an example: we consider the Robin problem for this equation posed both on the half line and on the finite interval. For specific cases of the Robin boundary conditions the boundary-value problem is found to be ill posed.
引用
收藏
页码：3171 / 3188
页数：18
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