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arxiv: 1302.0119 · v1 · pith:TGNW7KHZnew · submitted 2013-02-01 · 🧮 math.AP

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

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keywords densitycauchyequationfractionalmediumporousproblemaccording
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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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