文章基本信息

标题：Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
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作者：Yadong Zheng ; Zhong Bo Fang
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2019
卷号：2019
期号：1
页码：1-17
DOI：10.1186/s13661-019-1246-5
出版社：Hindawi Publishing Corporation
摘要：This paper deals with the qualitative properties of solutions for null Neumann initial boundary value problem to a nonlocal pseudo-parabolic equation in the sense of $H^{1}( arOmega )$ -norm. We establish sufficient conditions to guarantee that the solution with initial energy exists globally or blows up at finite time under an appropriate range of parameters. Moreover, life span of the blow-up solution, decay rate of the global solution, and growth estimate are derived.
关键词：Pseudo-parabolic equation; Nonlocal reaction term; Blow-up; Life span; Asymptotic behavior