Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the nonlinear pseudoparabolic equation with a memory term ut-Δu-Δut+∫0tλt-τΔuτdτ=div∇up-2u+u1+α, x∈Ω, t>0, with an initial condition and Dirichlet boundary condition.
Under negative initial energy and suitable conditions on p, α, and the relaxation function λ(t), we prove a finite-time blow-up result by using the concavity method.
American Psychological Association (APA)
Di, Huafei& Shang, Yadong. 2014. Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014122
Modern Language Association (MLA)
Di, Huafei& Shang, Yadong. Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014122
American Medical Association (AMA)
Di, Huafei& Shang, Yadong. Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014122
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014122
