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Let Ω be an unbounded domain in the 2-dimensional Euclidean space R2 having a compact and smooth boundary ∂Ω contained in the ball Bb0 = {x ∈ R2 | |x| ≤ b0}. In (0,∞) × Ω, we consider the nonstationary Stokes initial boundary value problem concerning the velocity field u = u(t, x) = (u1, u2) and the scalar pressure p = p(t, x): ∂tu−∆u +∇p = 0 and ∇ · u = 0 in (0,∞)× Ω, (NS) u = 0 on (0,∞)× ∂Ω, u→ 0 as |x| → ∞,

Remark on the Lq− L∞estimate of the Stokes semigroup in a 2-dimensional exterior domain

Remark on the L_q− L_∞estimate of the Stokes semigroup in a 2-dimensional exterior domain