Growth of solutions to NLS on irrational tori
classification
🧮 math.AP
keywords
toriboundsgrowthirrationalbetterdimensionequationestimates
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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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