General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping

被引：15

作者：

Ha, Tae Gab ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 02期

关键词：

Viscoelastic wave equation; Balakrishnan-Taylor damping; Asymptotic behavior at zero and infinity; SOURCE TERMS; ASYMPTOTIC STABILITY; ENERGY DECAY; GLOBAL EXISTENCE; NONLINEAR SOURCE; BLOW-UP; STABILIZATION; SYSTEMS; MEMORY;

D O I：

10.1007/s00033-016-0625-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the viscoelastic wave equation with Balakrishnan-Taylor damping. This work is devoted to prove uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function. Our estimate depends both on the behavior of the damping term near zero and on behavior of the relaxation function at infinity.

引用

页数：17

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