摘要
In this paper,we propose a second-order quasilinear hyperbolic system.By means of the theory on semi-global C^(1)solution to first-order quasilinear hyperbolic systems,we establish the existence and uniqueness of semi-global C^(2)solution to this second-order quasilinear hyperbolic system.After then,the general constructive framework is utilized to obtain the local exact boundary controllability for this second-order system.
作者
王珂
潘盼盼
WANG Ke;PAN Pan-pan(Department of Mathematics,Donghua University,Shanghai 201620,China;Institute for Nonlinear Sciences,Donghua University,Shanghai 201620,China)
基金
Supported by the Science and Technology Commission of Shanghai Municipality (Grant No.23ZR1402100)
the Fundamental Research Funds for the Central Universities (Grant Nos. 2232022G-13 and 2232023G-13)
