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arXiv:1302.0119 [math.AP]AbstractReferencesReviewsResources

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

Fabio Punzo, Gabriele Terrone

Published 2013-02-01Version 1

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.

Categories: math.AP
Subjects: 35A01, 35A02, 35E15, 35K55, 35R11
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