Theory of Extended Solutions¶for Fast-Diffusion Equations¶in Optimal Classes of Data.¶Radiation from Singularities

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Asymptotic behavior for nonlocal diffusion equations (2006, background): “When considering strong singularities of the kind ∞ · δ0 (see [8]), there is an explicit solution which reads u(x, t) = ( Ct |x|2 )1/(1−m) .”
The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion (2017, background): “Even unbounded Borel measures can be taken, see [84].”
Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation (2009, methodology): “as a particular case of the theory of solutions with general Borel measures as initial data constructed by Chasseigne and Vázquez in [13] with the name of extended continuous solutions.”