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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
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