Growth of solutions to NLS on irrational tori

Published 16 Feb 2017 in math.AP | (1702.04978v1)

Abstract: We prove polynomial bounds on the growth of higher Sobolev norms for the nonlinear Schrodinger 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.

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