This paper mainly seeks to contribute to the study of a quasilinear parabolic reaction–
diffusion system of arbitrary order with initial conditions. Using potential analysis techniques …

Over the years, reaction-diffusion systems have attracted the attention of a great number of
investigators and were successfully developed on the theoretical backgrounds. Not only it …

In this paper, we propose a modification and a generalization of the theory developed by P.
Perona and J. Malik for edge detection and image restoration, from the case of a single …

In this paper, we study the global existence in time of solutions for a parabolic reaction
diffusion model with a full matrix of diffusion coefficients on a bounded domain. The …

We study the existence of weak solutions for a parabolic reaction diffusion model applied in
Quenching endowed with singular production terms by reaction. The singularity is due to a …

The aim of this paper is to prove the existence of positive maximal and minimal solutions for
a class of degenerate elliptic reaction-diffusion systems, including the uniqueness of the …

In this note we study the elliptic system-∆ u= zp+ ƒ (x) in Ω,-∆ z=|∇ u| q+ g (x) in Ω, z, u> 0 in
Ω, z= u= 0 on∂ Ω, where Ω⊂ ℝN is a bounded domain, p> 0, 0< q≤ 2 with pq< 1 and ƒ, g …

The work constituting this thesis is a contribution to the mathematical modeling and analysis
of certain models applied in biology and medicine. We are interested in studying the …

In this paper, we study global existence of weak solutions for 2× 2 parabolic reaction-
diffusion systems with a full matrix of diffusion coefficients on a bounded domain, such as …

In this paper we study the existence of uniqueness global weak solutions for m× m reaction-
diffusion systems for which two main properties hold: the positivity of the weak solutions and …