## On the convergence properties of global solutions for some reaction-diffusion systems under Neumann boundary conditions.(English)Zbl 0852.35023

The article is concerned with the Neumann boundary condition. The convergence to the corresponding constant function as $$t\to + \infty$$ and the rate of convergence is investigated. The results are obtained using $$L^p$$-estimates, analytic semigroups theory and some imbedding relations.
Reviewer: M.Biroli (Monza)

### MSC:

 35B40 Asymptotic behavior of solutions to PDEs 35K57 Reaction-diffusion equations 47D06 One-parameter semigroups and linear evolution equations

### Keywords:

rate of convergence