Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems

被引：7
|
作者：
Matsuyama, Tokio [1 ]
Ruzhansky, Michael [2 ]
机构：
[1] Chuo Univ, Dept Math, Bunkyo Ku, Tokyo 1128551, Japan
[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
来源：
ANALYTIC METHODS IN INTERDISCIPLINARY APPLICATIONS | 2015年 / 116卷
关键词：
HYPERBOLIC SYSTEMS; EXTERIOR DOMAINS; SOLVABILITY; SCATTERING;
D O I：
10.1007/978-3-319-12148-2_5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be obtained for the initial-boundary value problems in exterior domains with compact boundary. Also, the known results on large data problems will be reviewed together with open problems.
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页码：81 / 96
页数：16
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