28 citations · 154 across the 56 of their papers we have counts for
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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 $$ \p…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part I: Radially non-increasing profiles
Razvan Gabriel Iagar, Philippe Laurençot
Existence of specific \emph{eternal solutions} in exponential self-similar form to the following quasilinear diffusion equation with strong absorption$$\partial_t u=Δu^m-|x|^σu^q,$…
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…
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 …
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 posed f…