一个一维二阶拟线性双曲组的精确边界能控性(英文)

作者:王珂*; 潘盼盼
来源:数学季刊, 2023, 38(04): 424-440.
DOI:10.13371/j.cnki.chin.q.j.m.2023.04.010

摘要

In this paper, we propose a second-order quasilinear hyperbolic system. By means of the theory on semi-global C1 solution to first-order quasilinear hyperbolic systems, we establish the existence and uniqueness of semi-global C2 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.

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