Decay rates for the energy of a singular nonlocal viscoelastic system

被引：1
作者：
Alaeddine, Draifia [1 ,2 ]
机构：
[1] Ecole Normale Super Mostaganem, Dept Exact Sci, Mostaganem, Algeria
[2] Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 01期
关键词：
exponential decay; intrinsic decay rates; polynomial decay; viscoelastic damping; ASYMPTOTIC STABILITY; WAVE-EQUATION; MIXED PROBLEM; BLOW-UP; EXISTENCE;
D O I：
10.1002/mma.6720
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work deals with decay rates for the energy of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. We prove the decay rates for the energy of a singular one-dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition of relaxation kernels described by the inequalitygi ' mml:mfenced close=")" open="(" separators=""t <=-H mml:mfenced close=")" open="(" separators="gi mml:mfenced close=")" open="(" separators="t,<mml:mfenced close=")" open="(" separators=""i=1,2for allt >= 0, withHconvex.
引用
收藏
页码：196 / 219
页数：24
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