Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
Abstract
The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces Hα with nonnegative initial data, α> d2+1. Besides, we correct a mistake in our previous paper zhou01.
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