Blow‐Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term

Huafei Di and Yadong Shang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/507494

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:507494

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().