Special Session 95: 

Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain

I-Kun Chen
National Taiwan University
Taiwan
Co-Author(s):    Chun-Hsiung Hsia, Daisuke Kawagoe
Abstract:
We consider the diffuse reflection boundary problem for linearized Boltzmann equation for hard sphere potential, cutoff hard potential, or Maxwellian molecular gases in a $C^2$ convex bounded domain with positive Gaussian curvature. We obtain a pointwise estimate for the derivative of the solution provided the boundary temperature is bounded differentiable and the solution is bounded.