Exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions

Exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions
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具有动态边界条件的一维拟线性波动方程的精确边界可控性

DOI:
10.1002/mma.4265
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发表时间:
2017
影响因子:
2.9
通讯作者:
Tatsien Li
Tatsien Li
中科院分区:
数学4区
文献类型:
--
作者:
Yue Wang;G. Leugering;Tatsien Li

文献摘要

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通过用一种非局部边界条件等效地代替动力边界条件,并注意到动力边界条件边界上隐藏的解规律,采用模结构的构造方法获得了具有动力边界条件的一维拟线性波动方程的局部精确边界可控性。版权所有 © 2016 约翰·威利父子有限公司
By equivalently replacing the dynamical boundary condition by a kind of nonlocal boundary conditions, and noting a hidden regularity of solution on the boundary with a dynamical boundary condition, a constructive method with modular structure is used to get the local exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions. Copyright © 2016 John Wiley & Sons, Ltd.