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Lp-Spectral Multipliers for some Elliptic Systems

Published online by Cambridge University Press:  10 October 2014

Peer Christian Kunstmann  and
Matthias Uhl
Peer Christian Kunstmann
Affiliation:
Department of Mathematics, Karlsruhe Institute of Technology, Kaiserstrasse 89, 76128 Karlsruhe, Germany, ([email protected])
Matthias Uhl
Affiliation:
Department of Mathematics, Karlsruhe Institute of Technology, Kaiserstrasse 89, 76128 Karlsruhe, Germany, ([email protected])
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Abstract

We show results on Lp-spectral multipliers for Maxwell operators with bounded measurable coefficients. We also present similar results for the Stokes operator with Hodge boundary conditions and the Lamé system. Here, we rely on resolvent estimates recently established by Mitrea and Monniaux.

Keywords

spectral multipliersMaxwell operatorStokes operatorLamé systemLipschitz domainsHodge boundary conditionsPrimary 35J4742B1547A60
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 1 , February 2015 , pp. 231 - 253
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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