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arXiv · 1403.3989

Hardy-type inequalities for vector fields with the tangential components vanishing

Xingfei Xiang·Zhibing Zhang
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Abstract

This note studies the Hardy-type inequalities for vector fields with the $L^1$ norm of the $\curl$. In contrast to the well-known results in the whole space for the divergence-free vectors, we generalize the Hardy-type inequalities to the bounded domains and to the non-divergence-free vector fields with the tangential components on the boundary vanishing.

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Xingfei Xiang, Zhibing Zhang. 2014-03-17. Hardy-type inequalities for vector fields with the tangential components vanishing. https://arxiv.org/abs/1403.3989

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