GLOBAL SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE QUASILINEAR VISCOELASTIC EQUATION WITH A DERIVATIVE NONLINEARITY

被引：4

作者：

Nakao, Mitsuhiro ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

OPUSCULA MATHEMATICA | 2014年 / 34卷 / 03期

关键词：

global solutions; energy decay; quasilinear wave equation; Kelvin-Voigt dissipation; derivative nonlinearity;

D O I：

10.7494/OpMath.2014.34.3.569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of a global decaying solution to the initial boundary value problem for the quasilinear wave equation with Kelvin- Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a ` loan' method and use a difference inequality on the energy.

引用

页码：569 / 590

页数：22

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