On the Cauchy problem for a general fractional porous medium equation with variable density

2013/02/01 by Fabio Punzo, Punzo, Fabio, Gabriele Terrone +1
Mathematics · #35A01 #35A02 #35E15 #35K55 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35A01 #msc:35A02 #msc:35E15 #msc:35K55 #msc:35R11

paper · pdf · doi:10.48550/arxiv.1302.0119

arxiv created 2013/02/01 · arxiv updated 2013/02/04

Abstract

We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according with the behavior of the density at infinity.

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