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Hokkaido University Preprint Series in Mathematics >
L1 MAXIMAL REGULARITY FOR THE LAPLACIAN AND APPLICATIONS
| Title: | L1 MAXIMAL REGULARITY FOR THE LAPLACIAN AND APPLICATIONS |
| Authors: | Giga, Yoshikazu Browse this author | | Saal, Jürgen Browse this author |
| Keywords: | Maximal regularity | | Radon measures | | Navier-Stokes equations | | Coriolis force | | strong solutions |
| Issue Date: | 30-Jul-2010 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 965 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | Inter alia we prove L1 maximal regularity for the Laplacian in the space of Fourier transformed finite Radon measures FM. This is remarkable, since FM is not a UMD space and by the fact that we obtain Lp maximal regularity for p = 1, which is not even true for the Laplacian in L2. We apply our result in order to construct strong solutions to the Navier-Stokes equations for initial data in FM in a rotating frame. In particular, the obtained results are uniform in the angular velocity of rotation. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69772 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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