Modified energies for the periodic generalized KdV equation and applications - ENS de Lyon - École normale supérieure de Lyon
Preprints, Working Papers, ... Year : 2024

Modified energies for the periodic generalized KdV equation and applications

F. Planchon
  • Function : Author
N. Visciglia
  • Function : Author

Abstract

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 and versions

ensl-04829785 , version 1 (10-12-2024)

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Cite

F. Planchon, N. Tzvetkov, N. Visciglia. Modified energies for the periodic generalized KdV equation and applications. 2024. ⟨ensl-04829785⟩
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