2024-03-29T13:59:45Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697722022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116L1 MAXIMAL REGULARITY FOR THE LAPLACIAN AND APPLICATIONSGiga, YoshikazuSaal, JürgenMaximal regularityRadon measuresNavier-Stokes equationsCoriolis forcestrong solutions410Inter 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69772info:doi/10.14943/84112https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69772/1/pre965.pdfHokkaido University Preprint Series in Mathematics965192010-07-30engpublisher