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- W2897568186 abstract "We show that the gradient of the $m$-power of a solution to a singular parabolic equation of porous medium-type (also known as fast diffusion equation), satisfies a reverse Holder inequality in suitable intrinsic cylinders. Relying on an intrinsic Calder'on-Zygmund covering argument, we are able to prove the local higher integrability of such a gradient for $minleft(frac{(n-2)_+}{n+2},1right)$. Our estimates are satisfied for a general class of growth assumptions on the non linearity. In this way, we extend the theory for $mgeq 1$ (see [GS16] in the list of references) to the singular case. In particular, an intrinsic metric that depends on the solution itself is introduced for the singular regime." @default.
- W2897568186 created "2018-10-26" @default.
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- W2897568186 date "2019-12-01" @default.
- W2897568186 modified "2023-09-23" @default.
- W2897568186 title "Self-improving property of the fast diffusion equation" @default.
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- W2897568186 doi "https://doi.org/10.1016/j.jfa.2019.108291" @default.
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