论文标题
通过确定性游戏解决次曼尼亚人小组中的单数进化问题
Solving singular evolution problems in sub-Riemannian groups via deterministic games
论文作者
论文摘要
在此手稿中，我们证明了卡诺组中奇异抛物线方程的粘度解决方案。我们通过构建适合Carnot组代数和差异结构的适当确定性游戏来开发分析。我们指出，存在的证据不需要比较，它基于Arzela-Ascoli-Type定理。
In this manuscript, we prove existence of viscosity solutions to singular parabolic equations in Carnot groups. We develop the analysis by constructing appropriate deterministic games adapted to the algebraic and differential structures of Carnot groups. We point out that the proof of existence does not require comparison and it is based on an Arzela-Ascoli-type theorem.
