3 citations · 4 across the 11 of their papers we have counts for
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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 $$ \partial_tu=Δu+|x|^σu^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty),…
Traveling wave solutions for the generalized Burgers-Fisher equation
Razvan Gabriel Iagar, Ariel Sánchez
Traveling wave solutions, in the form , to the generalized Burgers-Fisher equation $$ \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,…
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 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…