Convergence to equilibrium for delay-diffusion equations with small delay |
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| Authors: | Gero Friesecke |
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| Institution: | (1) Institut für Angewandte Mathematik, Universität Bonn, Federal Republic of Germany;(2) Present address: Department of Mathematics, Heriot-Watt University, EH14 4AS Edinburgh, Scotland |
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| Abstract: | It is shown that for scalar dissipative delay-diffusion equationsu
t– u=f(u(t),u(t– )) with a small delay, all solutions are asymptotic to the set of equilibria ast tends to infinity. |
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| Keywords: | Parabolic equations with time delay asymptotic behavior |
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