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On time-local solvability of the Navier-Stokes equations in Besov spaces
| Title: | On time-local solvability of the Navier-Stokes equations in Besov spaces |
| Authors: | Sawada, O. Browse this author |
| Issue Date: | Dec-2001 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 545 |
| Start Page: | 1 |
| End Page: | 30 |
| Abstract: | A time-local solution is constructed for the Cauchy problem of the ndimensional l'\avier-Stokes equations when the initial velocity belongs to Besov spaces of non positive order. The space contains L∞ in some exponents, so our solution may not decay at space infinity. In order to use iteration scheme we have to establish the Holder type inequality for estimating bilinear term by dividing the sum of Besov norm with respect to levels of frequency. Moreover, by regularizing effect our solutions belongs to L∞ for any positive time. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69294 |
| 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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