6 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 $(…
Global solutions versus finite time blow-up for the supercritical fast diffusion equation with inhomogeneous source
Razvan Gabriel Iagar, Ariel Sánchez
Solutions in self-similar form, either global in time or presenting finite time blow-up, to the supercritical fast diffusion equation with spatially inhomogeneous source $$ \partia…
A critical non-homogeneous heat equation with weighted source
Razvan Gabriel Iagar, Ariel Sánchez
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source $$ |x|^{-2}\partial_tu=Îu+|x|^Ïu^p, \qu…
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…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
Existence of a specific family of \emph{eternal solutions} in exponential self-similar form is proved for the following porous medium equation with strong absorption $$\partial_t u…
Existence and multiplicity of blow-up profiles for a quasilinear diffusion equation with source
Razvan Gabriel Iagar, Ariel Sánchez
We classify radially symmetric self-similar profiles presenting finite time blow-up to the quasilinear diffusion equation with weighted source posed for…