论文标题
Hairer的重建定理没有规律性结构
Hairer's Reconstruction Theorem without Regularity Structures
论文作者
论文摘要
这项调查专门介绍了马丁·坦率的重建定理，这是他规律性结构理论的基石之一。我们的目的是给出该定理的新的独立和基本证明，以及某些应用，包括基于单个任意测试功能的表征，对负Hölder空间。我们将重建定理作为分布理论的一般结果介绍，而无需任何规律性结构本身就可以理解，我们甚至不需要定义。
This survey is devoted to Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures. Our aim is to give a new self-contained and elementary proof of this Theorem, together with some applications, including a characterization, based on a single arbitrary test function, of negative Hölder spaces. We present the Reconstruction Theorem as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define.
