Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension

Fabio Punzo; Gabriele Terrone

doi:die/1396558092

Abstract

We study the existence and uniqueness of the bounded solutions to a fractional nonlinear porous medium equation with a variable density in a one space dimension.

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Fabio Punzo. Gabriele Terrone. "Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension." Differential Integral Equations 27 (5/6) 461 - 482, May/June 2014. https://doi.org/10.57262/die/1396558092

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Published: May/June 2014

First available in Project Euclid: 3 April 2014

zbMATH: 1340.35374

MathSciNet: MR3189528

Digital Object Identifier: 10.57262/die/1396558092

Subjects:

Primary: 35A01 , 35A02 , 35E15 , 35K55 , 35R11

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