White Noise Driven Kortewegβde Vries Equ
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A. de Bouard; A. Debussche; Y. Tsutsumi
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Article
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1999
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Elsevier Science
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English
β 212 KB
We consider a stochastic Korteweg de Vries equation on the real line. The noise is additive. We use function spaces similar to those introduced by Bourgain to prove well posedness results for the Korteweg de Vries equation in L 2 (R). We are able to handle a noise which is locally white in space and