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- W2915499413 abstract "Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of the solutions is obtained. Scaling arguments indicate that these estimates are optimal. In the linear limit, the proven regularity estimates are consistent with the optimal regularity of the linear case." @default.
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- W2915499413 date "2020-12-28" @default.
- W2915499413 modified "2023-10-09" @default.
- W2915499413 title "Optimal regularity in time and space for the porous medium equation" @default.
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- W2915499413 doi "https://doi.org/10.2140/apde.2020.13.2441" @default.
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