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Korean Mathematical Society
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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2003; 40(6): 1061-1074
Printed November 1, 2003
Copyright © The Korean Mathematical Society.
Analyticity for the Stokes operator in Besov spaces
Hyeong-Ohk Bae
We first show the analyticity of Stokes operator in Besov spaces $B^a_{p,q}(\mathbb R^n_+)$. Then, we estimate the asymptotic behavior of the Stokes solutions. We also show the Hodge decomposition.
Keywords: Stokes operator, semigroup, decay rate, Besov space, Hodge decomposition
MSC numbers: 35Q30, 76D07
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