We consider the completely resonant non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix s>1. We show the existence of solutions of this equation which achieve arbitrarily large growth of HsSobolev norms. We also give estimates for the time required to attain this growth.
Guardia, M., Haus, E., Procesi, M. (2016). Growth of Sobolev norms for the analytic NLS on T2. ADVANCES IN MATHEMATICS, 301, 615-692 [10.1016/j.aim.2016.06.018].
Growth of Sobolev norms for the analytic NLS on T2
Haus, Emanuele;Procesi, M.
2016-01-01
Abstract
We consider the completely resonant non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix s>1. We show the existence of solutions of this equation which achieve arbitrarily large growth of HsSobolev norms. We also give estimates for the time required to attain this growth.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GHPNLSRevision.pdf
accesso aperto
Descrizione: articolo principale
Tipologia:
Documento in Post-print
Dimensione
691.4 kB
Formato
Adobe PDF
|
691.4 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
