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

DOI10.1016/j.na.2013.12.007zbMath1284.35005arXiv1302.0119OpenAlexW2963367871MaRDI QIDQ2438289

Fabio Punzo, Gabriele Terrone

Publication date: 11 March 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0119

zbMATH Keywords

Cauchy problemvariable densityporous medium equationsmoothing effectfractional Laplacian

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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