A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off

作者：Silvestre Luis^*

来源：Communications in Mathematical Physics, 2016, 348(1): 69-100.

DOI：10.1007/s00220-016-2757-x

We apply recent results on regularity for general integro-differential equations to derive a priori estimates in Holder spaces for the space homogeneous Boltzmann equation in the non cut-off case. We also show an a priori estimate in which applies in the space inhomogeneous case as well, provided that the macroscopic quantities remain bounded.

• 出版日期2016-11