Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications
Yalchin R. Efendiev, А. А. Панков · Journal of Numerical Mathematics · 2005
In this paper we obtain Meyers type L p +ε -estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.