标题： 守恒定律在非局部到局部极限中的控制 显示英文标题

标题： Control of Conservation Laws in the Nonlocal-to-Local Limit

摘要： 我们分析了一类控制问题，其中初始数据作为控制量，状态由（局部）守恒定律的熵解通过非局部到局部的极限策略给出。 特别是，我们表征了非局部控制问题的极小值点沿子序列的极限为相应局部问题的极小值点。 此外，我们还通过欧拉-拉格朗日方案在离散层面上证明了一个类似的结果。 显示英文摘要

摘要： We analyze a class of control problems where the initial datum acts as a control and the state is given by the entropy solution of (local) conservation laws by a nonlocal-to-local limiting strategy. In particular we characterize the limit up to subsequence of minimizers to nonlocal control problems as minimizer of the corresponding local ones. Moreover, we also prove an analogous result at a discrete level by means of a Eulerian-Lagrangian scheme.