Global well-posedness of the Navier–Stokes equations in homogeneous Besov spaces on the half-space

SSRN Electronic Journal(2024)

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摘要
Consider the Stokes equations in the half-space R+n, n≧2. It is shown that the negative of the Stokes operator defined on the homogeneous Besov space B˙p,q,σs(R+n) generates a bounded strongly continuous semigroup in B˙p,qs(R+n) provided that 1更多
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关键词
Navier-Stokes equations,Stokes semigroup,Maximal regularity,Homogeneous Besov space
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