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The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation

✍ Scribed by Ma He-Ping; Guo Ben-Yu

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
667 KB
Volume
65
Category
Article
ISSN
0021-9991

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On the uniform decay for the Korteweg–de
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✍ C. P. Massarolo; G. P. Menzala; A. F. Pazoto πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 170 KB πŸ‘ 1 views

## 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__^βˆ’1^‐norm. Our main result says that the total energy decays locally uniform at an exponential rate. Our analysis improves earlier works on the