NEW GENERAL DECAY RESULTS FOR A VON KARMAN PLATE EQUATION WITH MEMORY-TYPE BOUNDARY CONDITIONS

被引：16
作者：
Feng, Baowei [1 ]
Soufyane, Abdelaziz [2 ]
机构：
[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Sichuan, Peoples R China
[2] Univ Sharjah, Coll Sci, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Von Karman equation; viscoelastic damping; general decay; convexity; EXPONENTIAL DECAY; SYSTEM; RATES; ENERGY;
D O I：
10.3934/dcds.2020092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a von Karman plate equation with memory-type boundary conditions. By assuming the relaxation function k(i) (i = 1, 2) with minimal conditions on the L-1 (0, infinity), we establish an optimal explicit and general energy decay result. In particular, the energy result holds for H(s) = s(p) with the full admissible range [1, 2) instead of [1, 3/2). This result is new and substantially improves earlier results in the literature.
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页码：1757 / 1774
页数：18
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