Well-posedness of Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain

被引：1

作者：

Li, Jie ^{[1
]}

Liu, Kangsheng ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 01期

关键词：

Korteweg-de Vries-Benjamin Bona; Mahony equation; Finite domain; Well-posedness; Nonhomogeneous boundary; Semigroup; Nonlinear interpolation; UNIQUE CONTINUATION; WAVES; LONG;

D O I：

10.1016/j.jmaa.2017.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain with initial value and nonhomogeneous boundary conditions. This particular problem arises from the phenomenon of long wave with small amplitude in fluid. We get the global well-posedness of this system. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：611 / 633

页数：23

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