论文标题
在非自主ornstein-uhlenbeck方程中平滑无限尺寸
On smoothing in non autonomous Ornstein-Uhlenbeck equations in infinite dimensions
论文作者
论文摘要
我们证明了沿Ornstein-Uhlenbeck进化操作员的合适方向的平滑性能，即与非自治Ornstein-Uhlenbeck方程相关的进化算子。此外，我们使用这样的平滑估计来证明Schauder型定理，再次沿着合适的方向证明一类进化方程的轻度解决方案。
We prove smoothing properties along suitable directions of the Ornstein-Uhlenbeck evolution operator, namely the evolution operator associated to non autonomous Ornstein-Uhlenbeck equations. Moreover we use such smoothing estimates to prove Schauder type theorems, again along suitable directions, for the mild solutions of a class of evolution equations.
