EXISTENCE AND DECAY OF SOLUTIONS FOR A HIGHER-ORDER VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC NONLINEARITY

被引：4
|
作者：
Piskin, Erhan [1 ]
Irkil, Nazli [1 ]
机构：
[1] Dicle Univ, Dept Math, Diyarbakir, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2021年 / 70卷 / 01期
关键词：
Decay; existence; logarithmic nonlinearity;
D O I：
10.31801/cfsuasmas.718432
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this paper is to study for the local existence and decay estimates results for a high-order viscoelastic wave equation with logarithmic nonlinearity. We obtain several results: Firstly, by using Faedo-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions. Later, we proved general decay results of solutions.
引用
收藏
页码：300 / 319
页数：20
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