4 papers · 1 filter
A new transformation for the subcritical fast diffusion equation with source and applications
Razvan Gabriel Iagar, Ariel Sánchez
A new transformation for radially symmetric solutions to the subcritical fast diffusion equation with spatially inhomogeneous source posed for $(x,…
A critical non-homogeneous heat equation with weighted source
Razvan Gabriel Iagar, Ariel Sánchez
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source $$ |x|^{-2}\partial_tu=Δu+|x|^σu^p, \quad…
Qualitative properties of solutions to a generalized Fisher-KPP equation
Razvan Gabriel Iagar, Ariel Sánchez
The following Fisher-KPP type equation with and , , positive coefficients, is considered. For bo…
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…