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- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Birkhäuser Verlag Basel,
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- DOI
- 10.1007/PL00012601
- Publisher site
- See Article on Publisher Site
Abstract
We prove estimates in $ 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 $ \omega $ is in the Muckenhoupt class $ A_q $ .¶The result is achieved by combining a characterisation of maximal regularity by $ {\mathcal R} $ -bounded operator families with the fact that $ {\mathcal R} $ -boundedness follows from weighted estimates for Muckenhoupt weights.
Journal
Journal of Evolution Equations – Springer Journals
Published: Nov 1, 2002