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.
On the Cauchy problem for a general fractional porous medium equation with variable density / F. Punzo, G. Terrone. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 98(2014), pp. 27-47.
On the Cauchy problem for a general fractional porous medium equation with variable density
F. PunzoPrimo
;
2014
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.
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