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On the Korteweg-de Vries equation: Existence and uniqueness

✍ Scribed by Anders Sjöberg


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
419 KB
Volume
29
Category
Article
ISSN
0022-247X

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On the Stochastic Korteweg–de Vries Equa
✍ A de Bouard; A Debussche 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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