Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain

被引：0
|
作者：
Jie Li
Kangsheng Liu
机构：
[1] Zhejiang University,Department of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2017年 / 48卷
关键词：
Well-posedness; Korteweg-de Vries-Burgers equation; nonhomogeneous boundary; semigroup; nonlinear interpolation;
D O I：
暂无
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学科分类号：
摘要：
In this paper,we consider the Korteweg-de Vries-Burgers equation on a finite domain with initial value and nonhomogeneous boundary conditions. This particular problem arises in the theory of ferroelectricity. We first get the local well-posedness of the problem, and then under the help of the local result, we use nonlinear interpolation to have the global well-posedness of the problem.
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页码：91 / 116
页数：25
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