Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 3: 545 - 555

DOI: https://doi.org/10.1007/s11464-011-0135-8

RESEARCH ARTICLE

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

  • Ke WANG
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  • School of Mathematics Sciences, Fudan University, Shanghai 200433, China

Received date: 15 Mar 2011

Accepted date: 06 Apr 2011

Published date: 01 Jun 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Based on the theory of semi-global C2 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.

Key words： Quasilinear wave equation; quasilinear hyperbolic system; local exact boundary controllability of nodal profile; global exact boundary controllability of nodal profile

Cite this article

Ke WANG . Exact boundary controllability of nodal profile for 1-D quasilinear wave equations[J]. Frontiers of Mathematics in China, 2011 , 6(3) : 545 -555 . DOI: 10.1007/s11464-011-0135-8

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