Self-improving property of degenerate parabolic equations of porous medium-type
Self-improving property of degenerate parabolic equations of porous medium-type
We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse H\"older inequality in suitable intrinsic cylinders. We modify the by-now classical Gehring lemma by introducing an intrinsic Calder\'on-Zygmund covering argument, and we are able to prove local higher integrability of the gradient of …