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• W2900706823 abstract "In this paper we establish in the fast diffusion range the higher integrability of the spatial gradient of weak solutions to porous medium systems. The result comes along with an explicit reverse Holder inequality for the gradient. The novel feature in the proof is a suitable intrinsic scaling for space-time cylinders combined with reverse Holder inequalities and a Vitali covering argument within this geometry. The main result holds for the natural range of parameters suggested by other regularity results. Our result applies to general fast diffusion systems and includes both, nonnegative and signed solutions in the case of equations. The methods of proof are purely vectorial in their structure." @default.
• W2900706823 created "2018-11-29" @default.
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• W2900706823 creator A5050650791 @default.
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• W2900706823 date "2018-11-22" @default.
• W2900706823 modified "2023-09-27" @default.
• W2900706823 title "Higher integrability for the singular porous medium system" @default.
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• W2900706823 hasPublicationYear "2018" @default.
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