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math.AP2012
Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension
Fabio Punzo, Gabriele Terrone
We study existence and uniqueness of bounded solutions to a fractional nonlinear porous medium equation with a variable density, in one space dimension.
math.AP2012
Conditions at infinity for the inhomogeneous filtration equation
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in , approaching at infinity a given continuous datum o…