论文标题
关于具有边界和源控制的标量保护法的全球可控性
On the global controllability of scalar conservation laws with boundary and source controls
论文作者
论文摘要
我们为有界域的双曲线保护定律提供了全局和半全球可控性结果，具有一般（不一定是凸）通量，并且具有时间依赖的源术语为控制。可能至关重要的是连续可区分的状态和BV状态。证明是基于返回方法的组合和解决方案空间衍生物的Riccati Equaiton的分析。
We provide global and semi-global controllability results for hyperbolic conservation laws on a bounded domain, with a general (not necessarily convex)flux and a time-dependent source term acting as a control. The results are achieved for, possibly critical, both continuously differentiable states and BV states. The proofs are based on a combination of the return method and on the analysis of the Riccati equaiton for the space derivative of the solution.
