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The inertial fractal set for weakly damped forced korteweg-de-vries equation

✍ Scribed by Dai Zheng-de; Zhu Zhi-wei


Publisher
Springer
Year
1995
Tongue
English
Weight
329 KB
Volume
16
Category
Article
ISSN
0253-4827

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✍ C. P. Massarolo; G. P. Menzala; A. F. Pazoto 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB 👁 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__^−1^‐norm. Our main result says that the total energy decays locally uniform at an exponential rate. Our analysis improves earlier works on the