28 citations · 154 across the 56 of their papers we have counts for
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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…