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math.AP2022★ 3 cited
Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation posed for , wit…
math.AP2022
A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential
Razvan Gabriel Iagar, Ariel Sánchez
Existence and uniqueness of a specific self-similar solution is established for the following reaction-diffusion equation with Hardy singular potential $$ \partial_tu=Δu^m+|x|^{-2}…
math.AP2022
Self-similar shrinking of supports and non-extinction for a nonlinear diffusion equation with spatially inhomogeneous strong absorption
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
We study the dynamics of the following porous medium equation with strong absorption posed for , with $m…