On the symplectic phase space of K\lowercase{d}V

DOI10.1090/S0002-9939-07-09120-4zbMath1167.35039arXiv0710.1381OpenAlexW2964264556MaRDI QIDQ5448932

Frédéric Serier, Thomas Kappeler, Peter J. Topalov

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1381

zbMATH Keywords

Korteweg-de Vries equationBirkhoff mapsymplectic phase space

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transformation and reduction of functional-differential equations and systems, normal forms (34K17)

Related Items (5)

On the wellposedness of the KdV/KdV2 equations and their frequency maps ⋮ mKdV and its Birkhoff coordinates ⋮ On the wellposedness of the KdV equation on the space of pseudomeasures ⋮ On the convexity of the KdV Hamiltonian ⋮ On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

Cites Work

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• Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's
• Birkhoff coordinates for KdV on phase spaces of distributions
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• Estimates for Periodic and Dirichlet Eigenvalues of the Schrödinger Operator
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• The inverse Sturm–Liouville problem with mixed boundary conditions
• Global Well-Posedness of mKdV inL²(𝕋, ℝ)
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials
• On Birkhoff coordinates for KdV

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