Polynomial Decay of Solutions to the Cauchy Problem for a Petrovsky-Petrovsky System in Rn

被引：0

作者：

Beniani, Abderrahmane ^{[1
]}

Benaissa, Abbes ^{[1
]}

Zennir, Khaled ^{[2
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, BP 89, Sidi Bel Abbes 22000, Algeria

[2] 20 Aout 55 Univ, Lab LAMAIH, Skikda 21000, Algeria

来源：

ACTA APPLICANDAE MATHEMATICAE | 2016年 / 146卷 / 01期

关键词：

Petrovsky equation; Memory; Coupled system; Polynomial decay; Weighted spaces; STABILIZATION; EQUATIONS; STABILITY;

D O I：

10.1007/s10440-016-0058-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes a polynomial decay rate of solution for a coupled system of Petrovsky equations in with infinite memory acting in the first equation. The weighted spaces and results in Guesmia (Appl. Anal. 94(1):184-217, 2015) are also used. The main contributions here is to show that the infinite memory lets our problem still dissipative and that the system is not exponentially stable in spite of the kernel in the memory term is sub-exponential.

引用

页码：67 / 79

页数：13

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