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

被引:0
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作者
Jie Li
Kangsheng Liu
机构
[1] Zhejiang University,Department of Mathematics
关键词
Well-posedness; Korteweg-de Vries-Burgers equation; nonhomogeneous boundary; semigroup; nonlinear interpolation;
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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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