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december 2018 The Helmholtz decomposition in weighted $L^p$ spaces in cones
Serge Nicaise
Bull. Belg. Math. Soc. Simon Stevin 25(5): 717-728 (december 2018). DOI: 10.36045/bbms/1547780431

Abstract

In this paper we prove the Helmholtz decomposition in conical domains of $\mathbb{R}^3$ in weighted $L^p_\beta$ spaces under a spectral condition on $\beta,p$. The basic elements are the transformation of the original problem into a problem set in cylindrical domains and the combination of a priori bounds from [5] with the vector-valued multiplier theorem [29].

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Serge Nicaise. "The Helmholtz decomposition in weighted $L^p$ spaces in cones." Bull. Belg. Math. Soc. Simon Stevin 25 (5) 717 - 728, december 2018. https://doi.org/10.36045/bbms/1547780431

Information

Published: december 2018
First available in Project Euclid: 18 January 2019

zbMATH: 07038548
MathSciNet: MR3901842
Digital Object Identifier: 10.36045/bbms/1547780431

Subjects:
Primary: 35J05, 35J20

Rights: Copyright © 2018 The Belgian Mathematical Society

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Vol.25 • No. 5 • december 2018
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