國立清華大學 數學系

Abstract: 

We adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the incoming data, with three iterations, we establish regularity in fractional Sobolev space in space variable up to order 1. This talk is based on a collaboration with Ping-Han Chuang, Chun-Hsiung Hsia, and Jhe-Kuan Su.