Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation

被引：0
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作者：
Jiazhuo Cheng
Shaomei Fang
机构：
[1] South China Agricultural University,Department of Applied Mathematics
[2] Yangtze Normal University,Department of Applied Mathematics
来源：
Boundary Value Problems | / 2020卷
关键词：
Fractional semilinear pseudo-parabolic equation; Green’s function method; Pointwise; Negative index;
D O I：
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学科分类号：
摘要：
This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution. Furthermore, using this precise pointwise structure, we introduce a Sobolev space condition with negative index on the initial data and give the nonlinear critical index for blowing up.
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