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Self-improving property of degenerate parabolic equations of porous medium-type. (arXiv:1603.07241v2 [math.AP] UPDATED)

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 a proper power of the solution $u$.查看全文

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