Degenerate diffusions : initial value problems and local regularity theory

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Radial equivalence for the two basic nonlinear degenerate diffusion equations (2008, background): “Keywords: Porous medium equation; p-Laplacian equation; Radially symmetric solutions; Self-similar solutions; Phase-plane analysis; Anomalous exponents”
Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains (2015, background): “4 The Classical Case s D 1 The classical case has been intensively studied since the 1980s by many authors [1–3, 16, 17, 21, 22, 28, 29, 34, 35, 37, 42]; see also the books [30, 36, 38, 65], as already mentioned in the introduction.”
A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains (2013, background): “established in [2, 18].”