Global solutions to a class of nonlinear damped wave operator equations

被引：3

作者：

Pan, Zhigang ^{[1
]}

Pu, Zhilin ^{[2
]}

Ma, Tian ^{[1
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

基金：

中国国家自然科学基金;

关键词：

nonlinear damped wave operator equations; global solutions; uniformly bounded; regularity; HYPERBOLIC VARIATIONAL EQUATION; EXISTENCE;

D O I：

10.1186/1687-2770-2012-42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and regularity of solutions. Mathematics Subject Classification 2000: 35L05; 35A01; 35L35.

引用

页数：9

共 17 条

[1]

Birkhoff G., 1978, ORDINARY DIFFERENTIA, P72

[2] Globally Lipschitz continuous solutions to a class of quasilinear wave equations [J].

Chang, Yuan ;

Hong, John M. ;

Hsu, Cheng-Hsiung .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (02) :504-531

[3]

Glassey R.T., 1997, IMA, V91

[4] Damped wave equation in the subcritical case [J].

Hayashi, N ;

Kaikina, EI ;

Naumkin, PI .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 207 (01) :161-194

[5] ON A NONLINEAR HYPERBOLIC VARIATIONAL EQUATION .2. THE ZERO-VISCOSITY AND DISPERSION LIMITS [J].

HUNTER, JK ;

ZHENG, YX .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 129 (04) :355-383

[6] ON A NONLINEAR HYPERBOLIC VARIATIONAL EQUATION .1. GLOBAL EXISTENCE OF WEAK SOLUTIONS [J].

HUNTER, JK ;

ZHENG, YX .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 129 (04) :305-353

[7] DYNAMICS OF DIRECTOR FIELDS [J].

HUNTER, JK ;

SAXTON, R .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (06) :1498-1521

[8] Global existence of solutions for semilinear damped wave equations in RN with noncompactly supported initial data [J].

Ikehata, R ;

Tanizawa, K .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (07) :1189-1208

[9] Cauchy problem for semilinear wave equation with time-dependent metrics [J].

Kian, Yavar .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (07) :2204-2212

[10]

Ma T, 2011, THEOREY METHOD PARTI

← 1 2 →