On the periodic KdV equation in weighted Sobolev spaces
Thomas Kappeler, Jürgen Pöschel (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Results on qualitative features of periodic solutions of KdV”
On the periodic KdV equation in weighted Sobolev spaces
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Maltsev, Andrei Ya. (2002)
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Quasi-periodic solutions of PDEs
Massimiliano Berti (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in , , and the - derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.
KAM techniques in PDE
Ricardo Pérez-Marco (2001-2002)
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Galerkin averaging method and Poincaré normal form for some quasilinear PDEs
Dario Bambusi (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We use the Galerkin averaging method to construct a coordinate transformation putting a nonlinear PDE in Poincaré normal form up to finite order. We also give a rigorous estimate of the remainder showing that it is small as a differential operator of very high order. The abstract theorem is then applied to a quasilinear wave equation, to the water wave problem and to a nonlinear heat equation. The normal form is then used to construct approximate solutions whose difference from true...
Andrew Lenard: a mystery unraveled.
Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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