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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
Nonexistence of Solutions to classes of parabolic inequalities in the Riemannian setting
Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Monticelli
We establish conditions for nonexistence of global solutions for a class of quasilinear parabolic problems with a potential on complete, non-compact Riemannian manifolds, including…