The Well-Posedness of Solution to Semilinear Pseudo-parabolic Equation

被引：16
|
作者：
Wei-ke WANG [1 ]
Yu-tong WANG [1 ]
机构：
[1] School of Mathematical Sciences,Shanghai Jiao Tong University
来源：
ActaMathematicaeApplicataeSinica | 2019年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Green’s function; pointwise; negative index Sobolev space;
D O I：
暂无
中图分类号：
O175.26 [抛物型方程];
学科分类号：
070104 ;
摘要：
In this paper, we use the Green’s function method to get the pointwise convergence rate of the semilinear pseudo-parabolic equations. By using this precise pointwise structure and introducing negative index Sobolev space condition on the initial data, we release the critical index of the nonlinearity for blowing up. Our result shows that the global existence does not only depend on the nonlinearity but also the initial condition.
引用
收藏
页码：386 / 400
页数：15
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