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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2022

Modified energies for the periodic generalized KdV equation and applications

Résumé

We construct modified energies for the generalized KdV equation. As a consequence, we obtain quasi-invariance of the high order Gaussian measures along with $L^p$ regularity on the corresponding Radon-Nykodim density, as well as new bounds on the growth of the Sobolev norms of the solutions.

Dates et versions

hal-03873131 , version 1 (26-11-2022)

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Citer

Fabrice Planchon, Nikolay Tzvetkov, Nicola Visciglia. Modified energies for the periodic generalized KdV equation and applications. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, ⟨10.4171/AIHPC/62⟩. ⟨hal-03873131⟩
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