2 citations · 3 across the 9 of their papers we have counts for
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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 $$ |x|^{-2}\partial_tu=Δu+|x|^σu^p, \quad…
Qualitative properties of solutions to a generalized Fisher-KPP equation
Razvan Gabriel Iagar, Ariel Sánchez
The following Fisher-KPP type equation with and , , positive coefficients, is considered. For bo…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
Existence of a specific family of \emph{eternal solutions} in exponential self-similar form is proved for the following porous medium equation with strong absorption $$\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 $(…
Existence of blow-up self-similar solutions for the supercritical quasilinear reaction-diffusion equation
Razvan Gabriel Iagar, Ariel Sánchez
We establish the existence of self-similar solutions presenting finite time blow-up to the quasilinear reaction-diffusion equation posed in dimension …