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math.AP2026
Self-similar extinction for a fast diffusion equation with weighted absorption
Razvan Gabriel Iagar, Diana-Rodica Munteanu
Finite time extinction of any bounded solution to the fast diffusion equation with spatially inhomogeneous absorption $$ \partial_tu=Îu^m-|x|^Ïu^p, \quad (x,t)\in\mathbb{R}^N\tim…
math.AP2025
A porous medium equation with spatially inhomogeneous absorption. Part II: Large time behavior
Razvan Gabriel Iagar, Diana-Rodica Munteanu
We study the large time behavior of solutions to the Cauchy problem for the quasilinear absorption-diffusion equation $$ \partial_tu=Îu^m-|x|^Ïu^p, \quad (x,t)\in\real^N\times(0,…