activity
20202026
most citedExistence of solution for a class of heat equation involving the 1-Laplacian operator

7 citations · 9 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2026

Twisted Gradient Flow Approach to Vegetation-Rainfall-Bushfire Interactions Model

Tahir Boudjeriou, Akio Ito

We consider a vegetation-rainfall-bushfire interaction model consisting of two partial differential equations describing the evolutions of bushfire intensity and water availability…

math.AP2026

Global smooth behavior in Kuznetsov and Westervelt type viscous wave equations: A unifying approach covering -small initial data

Tahir Boudjeriou, Michael Winkler

In a smoothly bounded domain $\Om\subset\R^n$ with and , we consider an initial-boundary value problem for the general viscous wave equation \bas h(u,u_t) u_{tt} = \…

math.AP2025

Asymptotic issue for fractional laplacian on long cylinders

Tahir Boudjeriou, Prosenjit Roy

In this paper, we are concerned with the asymptotic behavior of weak solutions to certain elliptic and parabolic problems involving the fractional -Laplacian in cylindrical doma…

math.AP2021★ 7 cited

Existence of solution for a class of heat equation involving the 1-Laplacian operator

Claudianor O. Alves, Tahir Boudjerio

This paper concerns the existence of global solutions for the following class of heat equation involving the 1-Laplacian operator of the Dirichlet problem $$ \left\{ \begin{array}{…

math.AP2021

Some qualitative properties for the Kirchhoff total variation flow

Tahir Boudjeriou

In this paper we are concerned with the following Kirchhoff type problem involving the 1-Laplace operator : \begin{equation*} \left\{\begin{array}{llc} u_{t}-m\left(\int_Ω|Du|\righ…

math.AP2020

Global existence and blow-up of solutions for a parabolic equation involving the fractional -Laplacian

Tahir Boudjeriou

In this paper, we consider a non-local diffusion equation involving the fractional -Laplacian with nonlinearities of variable exponent type. Employing the sub-differential ap…

math.AP2020★ 2 cited

Stability of solutions for a parabolic problem involving fractional p-Laplacian with logarithmic nonlinearity

Tahir Boudjeriou

In this paper, we study the following Dirichlet problem for a parabolic equation involving fractional -Laplacian with logarithmic nonlinearity \begin{equation*}\label{eq}\left\{…

math.AP2020

Existence of solution for a class of nonlocal problem via dynamical methods

Claudianor O. Alves, Tahir Boudjeriou

In this paper we use the dynamical methods to establish the existence of nontrivial solution for a class of nonlocal problem of the type $$ \left\{\begin{array}{l} -a\left(x,\int_Ω…