Exact boundary controllability of nodal profile for 1-D quasilinear wave equations

Ke Wang

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Exact boundary controllability of nodal profile for 1-D quasilinear wave equations

机译：一维拟线性波动方程的节点轮廓的精确边界可控性

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摘要

Based on the theory of semi-global C 2 solution for 1-D quasilinear wave equations, the local exact boundary controllability of nodal profile for 1-D quasilinear wave equations is obtained by a constructive method, and the corresponding global exact boundary controllability of nodal profile is also obtained under certain additional hypotheses.

机译：基于一维拟线性波动方程的半全局C 2 解理论，通过构造性方法获得了一维拟线性波动方程的节点轮廓的局部精确边界可控制性，并给出了相应的全局精确性。在某些其他假设下，也可以获得节点轮廓的边界可控性。

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来源
《Frontiers of Mathematics in China》 |2011年第3期|p.545-555|共11页
作者
Ke Wang;
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作者单位

School of Mathematics Sciences, Fudan University, Shanghai, 200433, China;

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正文语种 eng
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关键词
Quasilinear wave equation; quasilinear hyperbolic system; local exact boundary controllability of nodal profile; global exact boundary controllability of nodal profile; 35L05; 35L72; 93B05;

机译：拟线性波动方程;拟线性双曲系统;节点轮廓的局部精确边界可控性;节点轮廓的全局精确边界可控性;35L05;35L72;93B05;

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专利

1. Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree-like network of strings [J] . KeWang, Qilong Gu Mathematical Methods in the Applied Sciences . 2014,第8期

机译：平面树状弦网络中拟线性波动方程的节廓精确边界控制
2. Global exact boundary controllability for 1-D quasilinear wave equations [J] . Ke Wang Mathematical Methods in the Applied Sciences . 2011,第3期

机译：一维拟线性波动方程的全局精确边界可控制性
3. Exact boundary controllability for 1-D quasilinear wave equations [J] . Li TS, Yu LX SIAM Journal on Control and Optimization . 2006,第3期

机译：一维拟线性波动方程的精确边界可控性
4. Approximation of Exact Boundary Controllability Problems for the 1-D Wave Equation by Optimization-Based Methods [C] . Lii Ju, Max D. Gunzburger, L. Steven Hou International Conference on Scientific Computing and Partial Differential Equationa . 2003

机译：基于优化的方法逼近1-D波方程的精确边界控制性问题
5. Geometric optics, convex functions, Carleman estimates and interfaces in the boundary control of the wave equation [D] . Galbraith, Michael Lee. 2004

机译：几何光学，凸函数，CORLEMAN估计和波浪方程边界控制中的界面
6. Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [O] . Ülkü Dinlemez Kantar, Tülay Özden -1

机译：具有Robin边界条件的拟线性椭圆型方程的Lyapunov型不等式
7. Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings [O] . Gu Qilong, Li Tatsien 2009

机译：平面树状弦网络中拟线性波动方程的精确边界可控性

Exact boundary controllability of nodal profile for 1-D quasilinear wave equations

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