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L1 MAXIMAL REGULARITY FOR THE LAPLACIAN AND APPLICATIONS

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84112

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
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

Submitter: 数学紀要登録作業用

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