A Blow-up Result in a Nonlinear Viscoelastic Problem with Arbitrary Positive Initial Energy
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چکیده
In this paper we consider a problem for a nonlinear viscoelastic wave equation. Under arbitrary positive initial energy and standared conditions on the relaxation function, we prove a finite-time blow-up result.
منابع مشابه
Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms
*Correspondence: [email protected] School of Mathematical Sciences, Ocean University of China, Qingdao, P.R. China Abstract This work is concerned with the Dirichlet initial boundary problem for a semilinear viscoelastic wave system with nonlinear weak damping and source terms. For nonincreasing positive functions g and h, we show the finite time blow-up of some solutions whose initial data hav...
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تاریخ انتشار 2013