论文标题
与时间有关的ISAACS方程的几何规律理论
Geometric regularity theory for a time-dependent Isaacs equation
论文作者
论文摘要
这项工作的目的是为一类抛物线艾萨克人方程生成规律性理论。我们的技术基于近似方法,使我们能够将问题与贝尔曼抛物线模型联系起来。系数的近似制度,结合源术语的较小条件结合起来,可以在Sobolev和Hölder空间中解锁新的规律性。
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs equations. Our techniques are based on approximation methods which allow us to connect our problem with a Bellman parabolic model. An approximation regime for the coefficients, combined with a smallness condition on the source term unlocks new regularity results in Sobolev and Hölder spaces.