Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign
Analysis of PDEs
2023-10-24 v2 Dynamical Systems
Abstract
This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when one (or both) of the components of the solution is not a priori bounded is treated. Proofs are based on developed Lyapunov techniques.
Keywords
Cite
@article{arxiv.2212.05623,
title = {Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign},
author = {Said Kouachi},
journal= {arXiv preprint arXiv:2212.05623},
year = {2023}
}
Comments
Correction of an error in the proof of Theorem 1 by solving the problem of discontinuity of the sequence {{\theta}_{i}}