On p-elliptic divergence form operators and holomorphic semigroups

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.
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https://hal.archives-ouvertes.fr/hal-01961907
Contributor : Moritz Egert <>
Submitted on : Thursday, January 31, 2019 - 1:59:39 PM
Last modification on : Wednesday, February 6, 2019 - 9:54:35 AM
Long-term archiving on : Wednesday, May 1, 2019 - 3:37:26 PM

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  • HAL Id : hal-01961907, version 2
  • ARXIV : 1812.09154

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Moritz Egert. On p-elliptic divergence form operators and holomorphic semigroups. 2018. ⟨hal-01961907v2⟩

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