On the symplectic phase space of KdV
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- by T. Kappeler, F. Serier and P. Topalov PDF
- Proc. Amer. Math. Soc. 136 (2008), 1691-1698 Request permission
Abstract:
We prove that the Birkhoff map $\Omega$ for KdV constructed on $H^{-1}_0(\mathbb {T})$ can be interpolated between $H^{-1}_0(\mathbb {T})$ and $L^2_0(\mathbb {T})$. In particular, the symplectic phase space $H^{1/2}_0(\mathbb {T})$ can be described in terms of Birkhoff coordinates.References
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Additional Information
- T. Kappeler
- Affiliation: Mathematics Institute, University of Zurich, Winterthurerstr. 190, 8057 Zurich, Switzerland
- Email: tk@math.unizh.ch
- F. Serier
- Affiliation: Ecole Centrale de Lyon, Institut C. Jordan, UMR CNRS 5208, 36 avenue Guy de Collongue, 69134 Ecully, Cedex, France
- Email: frederic.serier@ec-lyon.fr
- P. Topalov
- Affiliation: Department of Mathematics, Northeastern University, 360 Huntington Ave., Boston, Massachusetts 02115
- Email: p.topalov@neu.edu
- Received by editor(s): December 21, 2006
- Received by editor(s) in revised form: January 1, 1800, and January 1, 2007
- Published electronically: November 30, 2007
- Additional Notes: The first author was supported in part by the Swiss National Science Foundation, the programme SPECT, and the European Community through the FP6 Marie Curie RTN ENIGMA (MRTN-CT-2004-5652).
- Communicated by: Walter Craig
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1691-1698
- MSC (2000): Primary 35Q53, 34K17
- DOI: https://doi.org/10.1090/S0002-9939-07-09120-4
- MathSciNet review: 2373598