28 citations · 154 across the 56 of their papers we have counts for
10 papers · 1 filter
Self-similar blow-up solutions for the supercritical parabolic Hardy-Hénon equation
Razvan Gabriel Iagar, Ana I. Muñoz, Ariel Sánchez
We classify the self-similar solutions presenting finite time blow-up to the parabolic Hardy-Hénon equation $$ \partial_tu=Δu+|x|^σu^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty),…
Generalized informational functionals and new monotone measures of statistical complexity
Razvan Gabriel Iagar, David Puertas-Centeno
In this paper we introduce a biparametric family of transformations which can be seen as an extension of the so-called up and down transformations. This new class of transformation…
Traveling wave solutions for the generalized Burgers-Fisher equation
Razvan Gabriel Iagar, Ariel Sánchez
Traveling wave solutions, in the form , to the generalized Burgers-Fisher equation $$ \partial_tu=u_{xx}+k(u^n)_x+u^p-u^q, \quad (x,t)\in\mathbb{R}\times(0,\infty),…
A porous medium equation with spatially inhomogeneous absorption. Part II: Large time behavior
Razvan Gabriel Iagar, Diana-Rodica Munteanu
We study the large time behavior of solutions to the Cauchy problem for the quasilinear absorption-diffusion equation $$ \partial_tu=Δu^m-|x|^σu^p, \quad (x,t)\in\real^N\times(0,\i…
Sharp non-existence threshold for a parabolic Hardy-H{é}non equation with quasilinear diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Optimal conditions for initial data leading to non-existence of non-negative solutions to the Cauchy problem for the parabolic Hardy-H{é}non equation $$ \partial\_tu=Δu^m+|x|^σu^p,…
Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce new classes of informational functionals, called \emph{upper moments}, respectively \emph{down-Fisher measures}, obtained by applying classical functionals such as …
Large time behavior for a quasilinear diffusion equation with weighted source
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
The large time behavior of general solutions to a class of quasilinear diffusion equations with a weighted source term $$ \partial_tu=Δu^m+\varrho(x)u^p, \quad (x,t)\in\mathbb{R}^N…
A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce a pair of transformations, which are mutually inverse, acting on rather general classes of probability densities in R. These transformations have the property of inter…
A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Local and global well-posedness, along with finite time blow-up, are investigated for the following Hardy-Hénon equation involving a quasilinear degenerate diffusion and a space-de…
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,…