[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.6.1061

ANALYTICITY FOR THE STOKES OPERATOR IN BESOV SPACES

Bae, Hyeong-Ohk (Department of Mathematics Ajou University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.6, 2003 , pp. 1061-1074 More about this Journal

Abstract

We first show the analyticity of Stokes operator in Besov spaces $B_{p,q}$ $^{a}$ ( $R_{＋}$ $^{n}$ ). Then, we estimate the asymptotic behavior of the Stokes solutions. We also show the Hodge decomposition.n.

Keywords

Stokes operator; semigroup; decay rate; Besov space; Hodge decomposition;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

1	Sur le Mouvement d'un liquide visqueux emplissant l'espace / [ J.Leray ] / Acta Math. DOI
2	Decay results for weak solutions of the Navier-Stokes equations in <TEX>$R^n$</TEX> / [ M.Wiegner ] / J. London Math. Soc. DOI
3	Lower bounds of rates of decay for solutions to the Navier-Stokes equations / [ M.E.Schonbek ] / J. Amer. Math. Soc. DOI ScienceOn
4	Theory of Function Spaces / [ H.Triebel ] / Monogr. Math.
5	Semigroups of linear operators and applications to partial differential equations / [ A.Pazy ] / Appl. Math. Sci.
6	/ [ H.O.Bae ] / Decays in <TEX>$L^{1}$</TEX>and <TEX>$L^{\infty}$</TEX> spaces for the Stokes flow
7	L² decay rate for the Navier-Stokes flow in half spaces / [ W.Borchers;T.Miyakawa ] / Math. Ann. DOI
8	Decay rates for the incompressible flows in half spaces / [ H.O.Bae;H.J.Choe ] / Math. Z.
9	A solution formula for the Stokes equation in <TEX>$R^n_+$</TEX> / [ S.Ukai ] / Comm. Pure Appl. Math.