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Weighted $L^q$-$L^r$ estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body
We consider a generalized Oseen evolution operator arising from time-dependent rigid motions in 3D exterior domains. Hishida and the present author established the regularity theory of the evolution operator by use of the $L^q$-$L^r$ smoothing estimates with a weight function $(1+|x|)^α$. The object
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