28 citations · 154 across the 56 of their papers we have counts for
67 papers
A porous medium equation with dominating weighted absorption: three types of self-similar solutions
Razvan Gabriel Iagar, Diana-Rodica Munteanu
Self-similar solutions to the porous medium equation with dominating spatially inhomogeneous absorption $$ \partial_tu=Δu^m-|x|^σu^p, \quad (x,t)\in\real^N\times(0,\infty), \quad N…
New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types
Razvan Gabriel Iagar, David Puertas-Centeno
Several new and sharp informational inequalities are derived as a byproduct of Stam-like and moment-entropy-like inequalities in the relative framework and a recently established i…
Convergence to self-similarity for a degenerate parabolic equation with fast-growing spatially-dependent absorption
Razvan Gabriel Iagar, Philippe Laurençot
The large time behavior of non-negative solutions to the absorption-diffusion equation \textsubscr{t} u = u\textsuperscript{m} - |x|\textsuperscript{ }u\textsupers…
Boundedness and evolution rates for a quasilinear reaction-diffusion equation
Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez
We consider the following quasilinear reaction-diffusion equation in dimension and in the…
Large time behavior and transition from vanishing to spreading regimes for the generalized Burgers-Fisher-KPP equation
Razvan Gabriel Iagar, Ariel Sánchez
The large time behavior of solutions to the following generalized Burgers-Fisher-KPP equation w…
Blow-up rates and sets for a quasilinear diffusion equation with weighted source
Raúl Ferreira, Razvan Gabriel Iagar, Ariel Sánchez
Blow-up rates are established for general solutions to the quasilinear diffusion equation in the range of ex…
Entropies, cross-entropies and Rényi divergence: sharp three-term inequalities for probability density functions
Razvan Gabriel Iagar, David Puertas-Centeno
A new sharp inequality featuring the differential Rényi entropy, the Rényi divergence and the Rényi cross-entropy of a pair of probability density functions is established. The equ…
Global self-similar solutions for Hardy-Hénon equations with linear and quasilinear diffusion
Razvan Gabriel Iagar, Ariel Sánchez, Erik Sarrion-Pedralva
Global self-similar solutions to the parabolic Hardy-Hénon equation are classified in the range of exponents $m…
Self-similar extinction for a fast diffusion equation with weighted absorption
Razvan Gabriel Iagar, Diana-Rodica Munteanu
Finite time extinction of any bounded solution to the fast diffusion equation with spatially inhomogeneous absorption $$ \partial_tu=Δu^m-|x|^σu^p, \quad (x,t)\in\mathbb{R}^N\times…
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 $$ \partial_tu=Δu^m+\varrho(x)u^p, \quad (x,t)\in\mathbb{R}^N…
A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce a pair of transformations, which are mutually inverse, acting on rather general classes of probability densities in R. These transformations have the property of inter…
A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Local and global well-posedness, along with finite time blow-up, are investigated for the following Hardy-Hénon equation involving a quasilinear degenerate diffusion and a space-de…
A new transformation for the subcritical fast diffusion equation with source and applications
Razvan Gabriel Iagar, Ariel Sánchez
A new transformation for radially symmetric solutions to the subcritical fast diffusion equation with spatially inhomogeneous source posed for $(x,…
A critical non-homogeneous heat equation with weighted source
Razvan Gabriel Iagar, Ariel Sánchez
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source $$ |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…
A Hardy-H{é}non equation in with sublinear absorption
Razvan Gabriel Iagar, Philippe Laurençot
Consider , and $\max\{-2,-N\}\<σ\<0$. The Hardy-Hénon equation with sublinear absorption\begin(equation*}- Δv(x) - |x|^σv(x) + \frac{1}{m-1} v^{1/m}(x)= 0, \qquad…
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 $$\partial_t u…
Second order asymptotics and uniqueness for self-similar profiles to a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurençot
Solutions in self-similar form presenting finite time extinction to the singular diffusion equation with gradient absorption $$\partial_t u - \mathrm{div}(|\nabla u|^{p-2}\nabla u)…