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Mathematics > Classical Analysis and ODEs

arXiv:1812.09154 (math)
[Submitted on 21 Dec 2018 (v1), last revised 17 Feb 2021 (this version, v3)]

Title:On p-elliptic divergence form operators and holomorphic semigroups

Authors:Moritz Egert (LM-Orsay)
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Abstract:Second order divergence form operators are studied on an open set with various boundary conditions. It is shown that the p-ellipticity condition of Carbonaro-Dragicevic and Dindos-Pipher implies extrapolation to a holomorphic semigroup on Lebesgue spaces in a p-dependent range of exponents that extends the maximal range for general strictly elliptic coefficients. Results have immediate consequences for the harmonic analysis of such operators, including Hoo-calculi and Riesz transforms.
Comments: Upload of published version
Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)
Cite as: arXiv:1812.09154 [math.CA]
  (or arXiv:1812.09154v3 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1812.09154
Journal reference: Journal of Evolution Equations, Springer Verlag, 2020, 20 (3), pp.705-724
Related DOI: https://doi.org/10.1007/s00028-019-00537-1

Submission history

From: Moritz Egert [view email] [via CCSD proxy]
[v1] Fri, 21 Dec 2018 14:39:50 UTC (18 KB)
[v2] Wed, 6 Feb 2019 08:54:11 UTC (20 KB)
[v3] Wed, 17 Feb 2021 08:04:37 UTC (20 KB)
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