Belgacem Rebiai
abstract:
The aim of this study is to prove the global existence of solutions for
reaction-diffusion systems with a tridiagonal matrix of diffusion coefficients
and nonhomogeneous boundary conditions. Towards this end, we make use of the
appropriate techniques which are based on the invariant domains and on Lyapunov
functional methods. The nonlinear reaction term has been supposed to be of
polynomial growth. This result is a continuation of that due to Kouachi and
Rebiai [Invariant regions and the global existence for reaction-diffusion
systems with a tridiagonal matrix of diffusion coefficients. Mem.
Differential Equations Math. Phys. 51 (2010), 93-108.
Mathematics Subject Classification: 35K45, 35K57
Key words and phrases: Reaction diffusion systems, invariant domains, Lyapunov functionals, global existence