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

Autor: Jiazhuo Cheng, Shaomei Fang
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Boundary Value Problems, Vol 2020, Iss 1, Pp 1-16 (2020)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-020-01431-3
Popis: 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 negative index on the initial data and give the nonlinear critical index for blowing up.
Databáze: Directory of Open Access Journals