%0 Journal Article
%T Boltzmann Equation with a Large Potential in a Periodic Box
%A Chanwoo Kim
%J Mathematics
%D 2011
%I arXiv
%X The stability of the Maxwellian of the Boltzmann equation with a large amplitude external potential $\Phi$ has been an important open problem. In this paper, we resolve this problem with a large $C3-$potential in a periodic box $\mathbb{T}^d$, $d \geq 3$. We use [1] in $L^p-L^{\infty}$ framework to establish the well-posedness and the $L^{\infty}-$stability of the Maxwellian $\mu_E(x,v)=\exp\{-\frac{|v|^2}{2}-\Phi(x)\}$.
%U http://arxiv.org/abs/1102.4002v1