SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY

被引：0

作者：

Hwang, Jin-soo ^{[1
]}

Nakagiri, Shin-ichi ^{[2
]}

Tanabe, Hiroki ^{[3
]}

机构：

[1] Daegu Univ, Coll Educ, Dept Math Educ, Gyeongbuk 712714, South Korea

[2] Kobe Univ, Fac Engn, Dept Appl Math, Kobe, Hyogo 6578501, Japan

[3] Osaka Univ, Takarazuka, Hyogo 6650817, Japan

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 04期

关键词：

equation of membrane with strong viscosity; weak solution; variational method; OF-MOTION; EXISTENCE UNIQUENESS; MEMBRANE; STABILITY;

D O I：

10.4134/JKMS.2011.48.4.867

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.

引用

页码：867 / 885

页数：19

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