Spatial Behavior of Solutions for a Class of Hyperbolic Equations with Nonlinear Dissipative Terms

被引：0

作者：

Peyravi, A. ^{[1
]}

机构：

[1] Shiraz Univ, Sch Sci, Dept Math, Math, Shiraz 7146713565, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2021年 / 15卷 / 03期

关键词：

Spatial estimates; hyperbolic equations; viscoelasticity; SAINT-VENANTS PRINCIPLE; BIHARMONIC EQUATION;

D O I：

10.30495/JME.2021.1453

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the spatial behavior of solutions for a viscoelastic wave equations with nonlinear dissipative terms in a semi-infinite n-dimensional cylindrical domain. An alternative of Phragmen-Lindelof type theorems is obtained in the result. In the case of decay, an upper bound will be derived for the total energy by means of the boundary data. The main point of the contribution is the use of energy method.

引用

页数：18

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[1] Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions [J].

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