Article ID Journal Published Year Pages File Type
839546 Nonlinear Analysis: Theory, Methods & Applications 2015 10 Pages PDF
Abstract

In this paper, we consider the nonlinear viscoelastic equation: |ut|ρutt−△u+∫0tg(t−τ)△u(τ)dτ+|ut|m−2ut=|u|p−2u,in  Ω×[0,T], with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions gg, we prove the nonexistence of global solutions with positive initial energy.

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