Some L2(R)-norm and L1(R)-norm decay estimates for Cauchy Timoshenko type systems with a frictional damping or an infinite memory

被引：1

作者：

Guesmia, Aissa ^{[1
]}

Messaoudi, Salim ^{[2
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, 3 Rue Augustin Fresnel,BP 45112, F-57073 Metz 03, France

[2] Univ Sharjah, Coll Sci, Dept Math, POB 2727, Sharjah, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期

关键词：

Timoshenko beam; Frictional damping; Infinite memory; Asymptotic behavior; L2(R)-norm andL1(R)-norm decay; estimates; Fourier analysis; REGULARITY-LOSS TYPE; PROPERTY; EXISTENCE; RATES;

D O I：

10.1016/j.jmaa.2023.127385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider two Timoshenko-type systems in the whole line R with a frictional damping or an infinite memory acting on the equation that describes the shear angle displacements. We prove some L2(R)-norm and L1(R)-norm decay estimates of solutions and their higher-order derivatives with respect to the space variable. Thanks to interpolation inequalities, these L2(R)-norm and L1(R)-norm decay estimates lead to similar ones in the Lp(R)-norm, for any p is an element of]1, 2[?]2, +infinity].(c) 2023 Elsevier Inc. All rights reserved.

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页数：26

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