In this talk, we will investigate the existence of the non-cutoff Boltzmann equation near a global Maxwellian in a general $C^3$(non-convex) bounded domain. We will discuss global-in-time $L^2$–$L^{\mathrm{\infty }}$ existence, with an exponential decay rate for both hard and soft potentials. The crucial methods are to extend the boundary problem to the whole space, the velocity averaging lemma, extra damping from the advection operator, and De Giorgi iteration. We will focus on the inflow boundary condition and briefly discuss the Maxwell reflection boundary condition if time allows.