We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density ρ>0. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according to the behavior of ρ at infinity. © 2013 Elsevier B.V. All rights reserved.
On the Cauchy problem for a general fractional porous medium equation with variable density
PUNZO, FABIO;
2014-01-01
Abstract
We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density ρ>0. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according to the behavior of ρ at infinity. © 2013 Elsevier B.V. All rights reserved.File in questo prodotto:
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