We prove polynomial bounds on the Hs growth for the nonlinear Schrödinger equation set on a torus, in dimension 3, with super-cubic and sub-quintic nonlinearity. Due to improved Strichartz estimates, these bounds are better for irrational tori than they are for rational tori.
|Original language||English (US)|
|Number of pages||32|
|Journal||International Mathematics Research Notices|
|State||Published - May 7 2019|
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