Hokkaido University Preprint Series in Mathematics
Consider the Stokes equations in a sector-like C3 domain Ω R2. It is shown that the Stokes operator generates an analytic semigroup in Lp (Ω) for p 2 [2;1). This includes domains where the Lp-Helmholtz decomposition fails to hold. To show our result we interpolate results of the Stokes semigroup in VMO and L2 by constructing a suitable non-Helmholtz projection to solenoidal spaces.