  The Boltzmann equation is a fundamental kinetic equation that describes the
dynamics of dilute gas. In this paper we study the local well-posedness of the
Boltzmann equation in bounded domain with the Cercignani-Lampis boundary
condition, which describes the intermediate reflection law between diffuse
reflection and specular reflection via two accommodation coefficients. We prove
the local-in-time well-posedness of the equation by establishing an $L^\infty$
estimate. In particular, for the $L^\infty$ bound we develop a new
decomposition on the boundary term combining with repeated interaction through
the characteristic. Via this method, we construct a unique steady solution of
the Boltzmann equation with constraints on the wall temperature and the
accommodation coefficient.
