Almost global existence for quasilinear wave equations in three space dimensions

被引：80

作者：

Keel, M ^{[1
]}

Smith, HF

Sogge, CD

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

[3] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 17卷 / 01期

关键词：

D O I：

10.1090/S0894-0347-03-00443-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：109 / 153

页数：45

共 30 条

[1] GLOBAL-SOLUTIONS OF NONLINEAR HYPERBOLIC-EQUATIONS FOR SMALL INITIAL DATA [J].

CHRISTODOULOU, D .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (02) :267-282

[2] NONLINEAR-WAVE EQUATIONS IN EXTERIOR DOMAINS [J].

DATTI, PS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 15 (04) :321-331

[3]

Gilbarg D., 2001, ELLIPTIC PARTIAL DIF

[4] Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems [J].

Godin, P .

AMERICAN JOURNAL OF MATHEMATICS, 1995, 117 (06) :1475-1505

[5] GLOBAL EXISTENCE OF SMALL SOLUTIONS TO QUADRATIC NONLINEAR-WAVE EQUATIONS IN AN EXTERIOR DOMAIN [J].

HAYASHI, N .

JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 131 (02) :302-344

[6]

Hormander L., 1997, Mathematics 4 Applications, V26

[7]

Hormander L, 1988, ANAL MATH APPL, P211

[8] ALMOST GLOBAL EXISTENCE TO NONLINEAR-WAVE EQUATIONS IN 3 SPACE DIMENSIONS [J].

JOHN, F ;

KLAINERMAN, S .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (04) :443-455

[9]

JOHN F, 1989, NONLINEAR WAVE EQUAT

[10] Almost global existence for some semilinear wave equations [J].

Keel, M ;

Smith, HF ;

Sogge, CD .

JOURNAL D ANALYSE MATHEMATIQUE, 2002, 87 (1) :265-279

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