$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains

Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa

$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains

Analysis of PDEs 2019-12-11 v1

Authors: Matthias Hieber , Hideo Kozono , Anton Seyfert , Senjo Shimizu , Taku Yanagisawa

Abstract

In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the $L^r$ -setting for $1<p<\infty$ .

Keywords

Helmholtz-Weyl decomposition exterior domains L^r spaces partial differential equations vector field decomposition

Cite

@article{arxiv.1912.04452,
  title  = {$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains},
  author = {Matthias Hieber and Hideo Kozono and Anton Seyfert and Senjo Shimizu and Taku Yanagisawa},
  journal= {arXiv preprint arXiv:1912.04452},
  year   = {2019}
}