Zhou, XuhuanXiao, Weiliang2022-08-032022-08-032017-10-03Zhou, X., & Xiao, W. (2017). Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2017</i>(238), pp. 1-7.1072-6691https://hdl.handle.net/10877/16030We prove the existence of a non-negative solution for a linear degenerate diffusion transport equation from which we derive the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces Hα with nonnegative initial data, α > d/2 + 1. We also correct a mistake in our previous paper [14].Text7 pages1 file (.pdf)enAttribution 4.0 InternationalFractional porous medium equationSobolev spaceDegenerate diffusion transport equationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.