Maximal regularity for the non-stationary Stokes system in an aperture domain |
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Authors: | Andreas Fröhlich |
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Institution: | 1.Darmstadt University of Technology, Schlossgartenstr.7, D-64289 Darmstadt, Germany, e-mail: froehlich@mathematik.tu-darmstadt.de ,DE |
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Abstract: | We prove estimates in Ls (0, T; Lwq (W)) L^s (0, T; L_w^q (\Omega)) for the solution of the non-stationary Stokes system in an aperture domain, where 1 <s, q< ¥ \infty and the weight function w \omega is in the Muckenhoupt class Aq A_q .¶The result is achieved by combining a characterisation of maximal regularity by R {\mathcal R} -bounded operator families with the fact that R {\mathcal R} -boundedness follows from weighted estimates for Muckenhoupt weights. |
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