$L^p$ estimates for the Laplacian via blow-up

Jan Lewenstein-Sanpera, Xavier Ros-Oton

In this note we provide a new proof of the $W^{2,p}$ Calderón-Zygmund regularity estimates for the Laplacian, i.e., $\Delta u=f$ and its parabolic counterpart ${\partial }_{t}u-\Delta u=f$. Our pr…