2 papers
math.AP2025
A porous medium equation with rough weights: sharp Widder theory
Gabriele Grillo, Matteo Muratori, Troy Petitt +1
We establish an optimal \emph{Widder theory} for a weighted porous medium equation with rough and inhomogeneous density that may be singular at a point and tends to zero at spatial…
math.AP2025
On the cutoff phenomenon for fast diffusion and porous medium equations
Djalil Chafaï, Max Fathi, Nikita Simonov
The cutoff phenomenon, conceptualized at the origin for finite Markov chains, states that for a parametric family of evolution equations, started from a point, the distance towards…