TY - JOUR
T1 - <em>C</em><sup>1,α</sup> Regularity of Viscosity Solutions of Fully Nonlinear Parabolic PDE Under Natural Structure Conditions
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 10
PY - 1999
DA - 1999/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5520.html
KW - Fully nonlinear parabolic equations
KW - C^{1
KW - \alpha} regularity
KW - viscosity solulions
AB -  In this paper, we concern the fully nonlinear parabolic equations u_t + F(x, t , u, Du, D² u) = 0. Under the natural structure conditions as that in [1], we obtain the C^{1,\alpha} estimates of the viscosity solutions.