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

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-tim...

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Bibliographic Details
Main Authors: Huafei Di, Yadong Shang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/507494
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