论文标题
非本地汉密尔顿 - 雅各比贝尔曼方程的周期性均质化收敛速率
Rates of Convergence in Periodic Homogenization of Nonlocal Hamilton-Jacobi-Bellman Equations
论文作者
论文摘要
在本文中，我们提供了与非本地扩散的汉密尔顿 - 雅各比 - 贝尔曼方程的周期性均质化速率。结果是基于相关有效问题的规律性，而凸性起着至关重要的作用。一旦我们为有效的哈密顿量提供了代表公式，就可以从可用的文献中进行这种规律性估计，这一结果具有独立的利益。
In this paper we provide a rate of convergence for periodic homogenization of Hamilton-Jacobi-Bellman equations with nonlocal diffusion. The result is based on the regularity of the associated effective problem, where the convexity plays a crucial role. Such regularity estimates are possible from the available literature once we provide a representation formula for the effective Hamiltonian, a result that has an independent interest.
