Asymptotic behavior to a von Karman equations of memory type with acoustic boundary conditions

被引：2

作者：

Kang, Jum-Ran ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Busan 604714, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 03期

关键词：

Von Karman system; Relaxation function; Acoustic boundary condition; Memory term; Convex function; ENERGY DECAY-RATES; WAVE-EQUATIONS; GENERAL DECAY; SYSTEM; PLATE;

D O I：

10.1007/s00033-016-0639-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability of solutions to a von Karman plate model of memory type with acoustic boundary conditions. We establish the general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive assumptions on the behavior of the relaxation function at infinity. These general decay estimates extend and improve on some earlier results-exponential or polynomial decay rates.

引用

页数：23

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