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Fredholm determinants and the mKdV/Sinh-Gordon hierarchies

✍ Scribed by Craig A. Tracy; Harold Widom


Book ID
105463361
Publisher
Springer
Year
1996
Tongue
English
Weight
344 KB
Volume
179
Category
Article
ISSN
0010-3616

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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