On analyticity of the ‐Stokes semigroup for some non‐Helmholtz domains
Martin Bolkart, Yoshikazu Giga, Tatsu‐Hiko Miura, Takuya Suzuki, Yohei Tsutsui · Mathematische Nachrichten · 2017
Abstract Consider 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.