M. Latorre

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.AP2026

The inhomogeneous Total Variation Flow with $L^{1}$ -data

Marta Latorre, Sergio Segura de LeÃ³n

This paper is devoted to the study of the Dirichlet problem for the parabolic equation driven by the $1$ --Laplacian operator under minimal integrability assumptions. Specifically,…

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}^…

Boundedness and evolution rates for a quasilinear reaction-diffusion equation

The inhomogeneous Total Variation Flow with L1-data

Large time behavior for a quasilinear diffusion equation with weighted source

The inhomogeneous Total Variation Flow with $L^{1}$ -data