On energy wave equations with non-negative non-linear terms

被引：0

作者：

Milla Miranda, M. ^{[1
]}

Louredo, A. T. ^{[1
]}

Clark, M. R. ^{[2
]}

Clark, H. R. ^{[3
]}

机构：

[1] Univ Estadual Paraiba, Dm, PB, Brazil

[2] Univ Fed Piaui, Dm, PI, Brazil

[3] Univ Fed Fluminense, Ime, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2016年 / 82卷

关键词：

Existence of solutions; Uniform stabilization; Non-linear system with non-negative terms; BOUNDARY STABILIZATION; UNIFORM STABILIZATION; DECAY-RATES; EXISTENCE;

D O I：

10.1016/j.ijnonlinmec.2015.12.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper deals with the existence of at least one solution and the uniform stabilization of the energy of an initial-boundary value problem for a non-linear wave equation with non-linear boundary condition of the feedback type. The non-linearities in both waves and boundary equations behave as functions of the type vertical bar u vertical bar(rho)(R) for rho > 1. (C) 2016 Published by Elsevier Ltd.

引用

页码：6 / 16

页数：11

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