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On the regularization mechanism for the periodic Korteweg–de Vries equation

✍ Scribed by Anatoli V. Babin; Alexei A. Ilyin; Edriss S. Titi

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
461 KB
Volume
64
Category
Article
ISSN
0010-3640

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## Abstract The aim of this work is to consider the Korteweg–de Vries equation in a finite interval with a very weak localized dissipation namely the __H__^−1^‐norm. Our main result says that the total energy decays locally uniform at an exponential rate. Our analysis improves earlier works on the