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  • 标题:Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
  • 本地全文:下载
  • 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
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