Abstract
It is shown that for scalar dissipative delay-diffusion equationsu t−Δu=f(u(t),u(t−τ)) with a small delay, all solutions are asymptotic to the set of equilibria ast tends to infinity.
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Friesecke, G. Convergence to equilibrium for delay-diffusion equations with small delay. J Dyn Diff Equat 5, 89–103 (1993). https://doi.org/10.1007/BF01063736
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DOI: https://doi.org/10.1007/BF01063736