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Sharp ill-posedness results for the KdV and mKdV equations on the torus

✍ Scribed by Luc Molinet


Book ID
113421969
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
343 KB
Volume
230
Category
Article
ISSN
0001-8708

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πŸ“œ SIMILAR VOLUMES


On the hierarchies of higher order mKdV
✍ Axel GrΓΌnrock πŸ“‚ Article πŸ“… 2010 πŸ› SP Versita 🌐 English βš– 634 KB

The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces H (R) defined by the norm Local well-posedness for the th equation is shown in the parameter range 2 β‰₯ > 1, β‰₯ 2 -1 2 . The proof uses an appropriate variant of the Fourier restriction nor