TY - JOUR T1 - Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces AU - Zhimin Chen , Yongzhi Zhao & Yujun Yang JO - Journal of Partial Differential Equations VL - 1 SP - 89 EP - 96 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5498.html KW - :Navier-Stokes equations KW - local solutions: Hölder Zygmund spaces AB - With the use of Hölder Zygmund space techniques, local regular solutions to the Navier-Stokes equations in R^n are shown to exist when the initial data are in the space {a|(-Δ)^{-β/2}a ∈ C^0(R^n)^n}\quad(0 < β < 1)