Ariel S'anchez

collaborators

3 papers

math.AP2026

Boundedness and evolution rates for a quasilinear reaction-diffusion equation

Razvan Gabriel Iagar, Marta Latorre, Ariel SÃ¡nchez

We consider the following quasilinear reaction-diffusion equation $\partial_{t} u = I^ u^{m} + (1 + ∣ x ∣)^{I ¨} u^{p}, (x, t) \in R^{N} \times (0, \infty),$ in dimension $N \geq 3$ and in th…

math.AP2025

Traveling wave solutions for the generalized Burgers-Fisher equation

Razvan Gabriel Iagar, Ariel SÃ¡nchez

Traveling wave solutions, in the form $u (x, t) = f (x + c t)$ , 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),…

math.AP2025

Large time behavior for a quasilinear diffusion equation with weighted source

Razvan Gabriel Iagar, Marta Latorre, Ariel SÃ¡nchez

The large time behavior of general solutions to a class of quasilinear diffusion equations with a weighted source term $$ \partial_tu=Îu^m+\varrho(x)u^p, \quad (x,t)\in\mathbb{R}^…