Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign

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.

arXiv commentCorrection of an error in the proof of Theorem 1 by solving the problem of discontinuity of the sequence {θ_{i}}