|DATE||February 27 (Tue), 2018|
|TITLE||Application of $\lambda$-maximal function to the parabolic Calder\'on-Zygmund theory|
In this talk, we obtain a global gradient estimate for quasilinear parabolic equations of divergence form. The nonlinear term behaves as the $p$-Laplacian with respect to the spatial gradient $Du$. we introduce and employ essentially the concept of a $\lambda$-maximal function over intrinsic cylinders in order to derive appropriate $L^q$-estimates for the spatial gradient.