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L^1 maximal regularity for the Laplacian and applications

Saal, J. ; Giga, Y. (2011):
L^1 maximal regularity for the Laplacian and applications.
In: AIMS Proceedings, to appear, [Article]

Item Type: Article
Erschienen: 2011
Creators: Saal, J. ; Giga, Y.
Title: L^1 maximal regularity for the Laplacian and applications
Language: English
Journal or Publication Title: AIMS Proceedings, to appear
Divisions: Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
04 Department of Mathematics > Mathematical Modelling and Analysis
Zentrale Einrichtungen
04 Department of Mathematics
Exzellenzinitiative > Clusters of Excellence
Date Deposited: 17 Jun 2011 13:57
Alternative Abstract:
Alternative abstract Language

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.

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