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Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise

✍ Scribed by De Bouard, A.; Debussche, A.; Tsutsumi, Y.


Book ID
118198010
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
385 KB
Volume
36
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES


White Noise Driven Korteweg–de Vries Equ
✍ A. de Bouard; A. Debussche; Y. Tsutsumi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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