2 citations · 3 across the 9 of their papers we have counts for
10 papers
Peaking self-similar solutions and continuation after blow-up for a quasilinear Hardy-Hénon equation
Razvan Gabriel Iagar, Ariel Sánchez, Erik Sarrión-Pedralva
We consider the quasilinear Hardy-Hénon equation in the range of exponents and dimension $$ N\geq3, \quad σ\in(-2,\i…
A new transformation for the subcritical fast diffusion equation with source and applications
Razvan Gabriel Iagar, Ariel Sánchez
A new transformation for radially symmetric solutions to the subcritical fast diffusion equation with spatially inhomogeneous source posed for $(x,…
A critical non-homogeneous heat equation with weighted source
Razvan Gabriel Iagar, Ariel Sánchez
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source $$ |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…
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 $$\partial_t u…
Existence and multiplicity of blow-up profiles for a quasilinear diffusion equation with source
Razvan Gabriel Iagar, Ariel Sánchez
We classify radially symmetric self-similar profiles presenting finite time blow-up to the quasilinear diffusion equation with weighted source posed for $(…
Existence of blow-up self-similar solutions for the supercritical quasilinear reaction-diffusion equation
Razvan Gabriel Iagar, Ariel Sánchez
We establish the existence of self-similar solutions presenting finite time blow-up to the quasilinear reaction-diffusion equation posed in dimension …
Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
Well-posedness and a number of qualitative properties for solutions to the Cauchy problem for the following nonlinear diffusion equation with a spatially inhomogeneous source $$ \p…
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…
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…