On the Stochastic Korteweg–de Vries Equa
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A de Bouard; A Debussche
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Article
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1998
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Elsevier Science
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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