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

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

Abstract 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 ne...

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Bibliographic Details
Main Authors: Jiazhuo Cheng, Shaomei Fang
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Boundary Value Problems
Subjects:
Fractional semilinear pseudo-parabolic equation
Green’s function method
Pointwise
Negative index
Online Access:http://link.springer.com/article/10.1186/s13661-020-01431-3

Internet

http://link.springer.com/article/10.1186/s13661-020-01431-3

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