Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term

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 ( Ω ) -norm. We establish sufficient conditions to guarantee that the solution with initial energy exists globally or blows up at...

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Bibliographic Details
Published inBoundary value problems Vol. 2019; no. 1; pp. 1 - 17
Main Authors Zheng, Yadong, Fang, Zhong Bo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 09.08.2019
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Asymptotic behavior
Blow-up
Boundary value problems
Decay rate
Difference and Functional Equations
Economic models
Life span
Mathematics
Mathematics and Statistics
Nonlocal reaction term
Ordinary Differential Equations
Partial Differential Equations
Pseudo-parabolic equation
Life span
Pseudo-parabolic equation
Asymptotic behavior
35B44
35S11
Nonlocal reaction term
35B40
Blow-up
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Summary: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 ( Ω ) -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.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-019-1246-5