Abstract

AbstractConsider the Stokes equations in a sector‐like C3 domain . It is shown that the Stokes operator generates an analytic semigroup in for . This includes domains where the ‐Helmholtz decomposition fails to hold. To show our result we interpolate results of the Stokes semigroup in and L2 by constructing a suitable non‐Helmholtz projection to solenoidal spaces.

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