Existence’s Results for Parabolic Problems Related to Fully Non Linear Operators Degenerate or Singular

In this paper we prove some existence and regularity results concerning parabolic equations \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ u_t = F(x, \nabla u, D^2 u) + f(x,t) $$\end{document}with some boundary conditions, on Ω×]0, T[, where Ω is some bounded domain which possesses the exterior cone property and F is some fully nonlinear elliptic operator, singular or degenerate.