Global exact boundary controllability for 1-D quasilinear wave equations

被引：5
|
作者：
Wang, Ke [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 03期
关键词：
quasilinear wave equation; quasilinear hyperbolic equation; local exact boundary controllability; global exact boundary controllability;
D O I：
10.1002/mma.1358
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the local exact boundary controllability for 1-D quasilinear wave equations, the global exact boundary controllability for 1-D quasilinear wave equations in a neighborbood of any connected set of constant equilibria is obtained by an extension method. Similar results are also given for a kind of general 1-D quasilinear hyperbolic equations. Copyright (C) 2010 John Wiley & Sons, Ltd.
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页码：315 / 324
页数：10
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