Publication at Faculty of Mathematics and Physics |
2019
Abstract
We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse Holder inequality in suitable intrinsic cylinders. We modify the by-now classical Gehring lemma by introducing an intrinsic Calderon-Zygmund covering argument, and we are able to prove local higher integrability of the gradient of a proper power of the solution u.