An application of weighted Hardy spaces to the Navier-Stokes equations

作者：Tsutsui Yohei^*

来源：Journal of Functional Analysis, 2014, 266(3): 1395-1420.

DOI：10.1016/j.jfa.2013.12.002

• Weighted Hardy spaces
• Convolution operators
• Div-curl lemma
• Navier-Stokes equations

In this article, we consider the mapping properties of convolution operators with smooth functions on weighted Hardy spaces H-P(w) with w belonging to Muckenhoupt class A(infinity). As a corollary, one obtains decay estimates of heat semigroup on weighted Hardy spaces. After a weighted version of the div-curl lemma is established, these estimates on weighted Hardy spaces are applied to the investigation of the decay property of global mild solutions to Navier-Stokes equations with the initial data belonging to weighted Hardy spaces.

• 出版日期2014-2-1