@article{oai:niigata-u.repo.nii.ac.jp:00002188,
author = {Hishida, Toshiaki},
issue = {2},
journal = {Nihonkai Mathematical Journal, Nihonkai Mathematical Journal},
month = {},
note = {In exterior domains of R^3, we consider the differential operator △+(k×x)・▽ with Dirichlet boundary condition, where k stands for the angular velocity of a rotating obstacle. We show, among others, a certain smoothing property together with estimates near t=0 of the generated semigroup (it is not an analytic one) in the space L^2. The result is not trivial because the coefficient k×x is unbounded at infinity. The proof is mainly based on a cut-off technique. The equation ∂_=△u+(k×x)・▽u can be taken as a model problem for a linearized form of the Navier-Stokes equations in a domain exterior to a rotating obstacle. This paper is a step toward an analysis of the Navier-Stokes flow in such a domain.},
pages = {103--135},
title = {L² theory for the operator Δ+(κ×χ)・∇ in exterior domains},
volume = {11},
year = {2000}
}