A. I. Muñoz

most citedSelf-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential

14 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2023

Some qualitative properties of solutions to a reaction-diffusion equation with weighted strong reaction

Razvan Gabriel Iagar, Ana Isabel Muñoz, Ariel Sánchez

We study the existence and qualitative properties of solutions to the Cauchy problem associated to the quasilinear reaction-diffusion equation $\partial_{t} u = Δ u^{m} + (1 + ∣ x ∣)^{σ} u^{p},$ …

math.AP2023★ 2 cited

Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source

Razvan Gabriel Iagar, Ana Isabel Muñoz, Ariel Sánchez

We establish both extinction and non-extinction self-similar profiles for the following fast diffusion equation with a weighted source term $\partial_{t} u = Δ u^{m} + ∣ x ∣^{σ} u^{p},$ posed f…

math.AP2021★ 14 cited

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 $t \to \infty$ for the following reaction-diffusion equation with a singular potential $$ u_…