2022-05-20T20:27:36Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/692942018-04-25T23:44:07Zhdl_2115_45007hdl_2115_116On time-local solvability of the Navier-Stokes equations in Besov spacesSawada, O.410A 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.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69294info:doi/10.14943/83690https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69294/1/pre545.pdfHokkaido University Preprint Series in Mathematics5451302001-12engpublisher