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The Stochastic Korteweg–de Vries Equation inL2(R)

✍ Scribed by Jacques Printems

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
236 KB
Volume
153
Category
Article
ISSN
0022-0396

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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