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20092026
most citedBlow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth

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

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math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

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 ex…

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 $m…

math.AP2026

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…