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math.AP2020
Self-similar blow-up profiles for a reaction-diffusion equation with critically strong weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We classify the self-similar blow-up profiles for the following reaction-diffusion equation with critical strong weighted reaction and unbounded weight: $$ \partial_tu=\partial_{xx…
math.AP2012
Asymptotic behavior for the heat equation in nonhomogeneous media with critical density
Razvan Iagar, Ariel Sánchez
We study the asymptotic behavior of solutions to the heat equation in nonhomogeneous media with critical singular density $$ |x|^{-2}\partial_{t}u=Δu, \quad \hbox{in} \ \real^N\tim…