19 papers
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\textsupe…
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 th…
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…
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…