OPTIMAL ENERGY DECAY RATES FOR VISCOELASTIC WAVE EQUATIONS WITH NONLINEARITY OF VARIABLE EXPONENT

被引：0
作者：
Mustafa, Muhammad I. [1 ]
机构：
[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 53期
关键词：
Key words and phrases. Viscoelasticity; frictional damping; variable exponent; energy decay; BLOW-UP; ASYMPTOTIC-BEHAVIOR; PARABOLIC EQUATIONS; GENERAL DECAY; T)-LAPLACIAN; EXISTENCE; P(X; SPACES;
D O I：
10.58997/ejde.2023.53
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the viscoelastic wave equationZt utt - & UDelta;u + g(t - s)& UDelta;u(s)ds + a|ut |m(& BULL;)-2ut = 0 0with a nonlinear feedback having a variable exponent m(x). We investigate the interaction between the two types of damping and establish an optimal decay result under very general assumptions on the relaxation function g. We construct explicit formulae which provide faster energy decay rates than the ones already existing in the literature.
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页数：17
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