TY - JOUR
T1 - Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces
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)