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

被引：5

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

页码：300 / 319

页数：20

共 16 条

[1]

Adams A. R., 2003, PURE APPL MATH, V140

[2] Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity [J].