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math.AP2021★ 2 cited
Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We prove existence and uniqueness of the branch of the so-called \emph{anomalous eternal solutions} in exponential self-similar form for the subcritical fast-diffusion equation wit…
math.AP2021★ 18 cited
Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We study the separate variable blow-up patterns associated to the following second order reaction-diffusion equation: posed for $x\in\mathbb{R}^N…
math.AP2021
Eternal solutions for a reaction-diffusion equation with weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We prove existence and uniqueness of \emph{eternal solutions} in self-similar form growing up in time with exponential rate for the weighted reaction-diffusion equation $$ \partial…