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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…
math.AP2025
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=Îu+|x|^Ïu^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty…