论文标题
线性传输算子的低纤维化估计值
Hypoelliptic estimates for linear transport operators
论文作者
论文摘要
我们的目的是了解线性运算符和分数扩散之间的非信誉现象如何使运输操作员能够满足整个空间的低纤维化估计。通过使用经典乘数方法，获得了大量的线性传输运算符获得此类低纤维化估计值。这项工作的主要动机是对与自由运输操作员相关的动力学方程溶液的频道规律的研究。
We aim at understanding how the non-commutation phenomena between a linear transport operator and a fractional diffusion allow the transport operator to satisfy hypoelliptic estimates on the whole space. Such hypoelliptic estimates are obtained for a large class of linear transport operators by using the classical multiplier method. The main motivation of this work arises from the study of the hypoelliptic regularity of the solutions of kinetic equations associated with a free transport operator.
