THE INITIAL-BOUNDARY VALUE PROBLEM ON A STRIP FOR THE EQUATION OF TIME-LIKE EXTREMAL SURFACES

被引：10
|
作者：
Liu, Jianli [1 ]
Zhou, Yi [1 ]
机构：
[1] Fudan Univ, Dept Math, Key Lab Math Nonlinear Sci, Minist Educ China, Shanghai 200433, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 1-2期
关键词：
The equation of time-like extremal surface; initial-boundary value problem; global classical solution; LINEAR HYPERBOLIC SYSTEMS; GLOBAL CLASSICAL-SOLUTIONS; ASYMPTOTIC-BEHAVIOR; DEGENERACY;
D O I：
10.3934/dcds.2009.23.381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space R1+(1+n) on the strip R+ x [0, 1]. Under the assumptions that the boundary data are small and decaying, we get the global existence and uniqueness of classical solutions.
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页码：381 / 397
页数：17
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