28 citations · 154 across the 56 of their papers we have counts for
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Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential
Razvan Gabriel Iagar, Ana Isabel Muñoz, Ariel Sánchez
We prove existence and uniqueness of a global in time self-similar solution growing up as for the following reaction-diffusion equation with a singular potential $$ u_…
Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension
Razvan Gabriel Iagar, Ana I. Muñoz, Ariel Sánchez
We classify the finite time blow-up profiles for the following reaction-diffusion equation with unbounded weight: posed in any space dimension $x\i…
Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We prove existence and uniqueness of the branch of the so-called \emph{anomalous eternal solutions} in exponential self-similar form for the subcritical fast-diffusion equation wit…
Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We study the separate variable blow-up patterns associated to the following second order reaction-diffusion equation: posed for $x\in\mathbb{R}^N…
Eternal solutions for a reaction-diffusion equation with weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We prove existence and uniqueness of \emph{eternal solutions} in self-similar form growing up in time with exponential rate for the weighted reaction-diffusion equation $$ \partial…