Special Session 78: The Navier-Stokes equations and related problems
Contents
We consider a composition operator for the Stokes semigroup subject to the Dirichlet boundary condition and the Helmholtz projection on a space of bounded functions. It is known that some regularizing estimate for this composition on $L^{p}$ plays an important role for studying the Navier-Stokes equations. We show some a priori estimate for this composition operator on a space of bounded functions.