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首页> 外文期刊>Discrete and continuous dynamical systems, Series S >ON THE BLOW-UP OF THE CAUCHY PROBLEM OF HIGHER-ORDER NONLINEAR VISCOELASTIC WAVE EQUATION
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ON THE BLOW-UP OF THE CAUCHY PROBLEM OF HIGHER-ORDER NONLINEAR VISCOELASTIC WAVE EQUATION

机译：ON THE BLOW-UP OF THE CAUCHY PROBLEM OF HIGHER-ORDER NONLINEAR VISCOELASTIC WAVE EQUATION

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摘要

In this paper we consider the Cauchy problem for a higher-orderviscoelastic wave equation with finite memory and nonlinear logarithmic sourceterm. Under certain conditions on the initial data with negative initial energyand with certain class of relaxation functions, we prove a finite-time blow-upresult in the whole space. Moreover, the blow-up time is estimated explicitly.The upper bound and the lower bound for the blow up time are estimated.

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