一类控制的势平均场对策的Schauder估计
Schauder Estimates for a Class of Potential Mean Field Games of Controls
摘要：
给出了一类控制的平均场对策的一个存在性结果。在所考虑的模型中，每个代理商要最小化的成本函数涉及到在给定时间内所有代理商的控制和拥塞项的价格。一个经典解的存在证明与Leray-Schauder定理，证明特别依赖于先验界的解决方案，这是获得的帮助下，潜在的制定的问题。
英文摘要：
An existence result for a class of mean field games of controls is provided. In the considered model, the cost functional to be minimized by each agent involves a price depending at a given time on the controls of all agents and a congestion term. The existence of a classical solution is demonstrated with the Leray-Schauder theorem; the proof relies in particular on a priori bounds for the solution, which are obtained with the help of a potential formulation of the problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
