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On the Korteweg-de Vries equation

✍ Scribed by Tosio Kato


Publisher
Springer
Year
1979
Tongue
English
Weight
383 KB
Volume
28
Category
Article
ISSN
0025-2611

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On the Stochastic Korteweg–de Vries Equa
✍ A de Bouard; A Debussche πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 429 KB

We consider a stochastic Korteweg de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure. We prove existence and uniqueness of solutions in H 1 (R) in the case of additive noise and existence of martingales solution