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arXiv · 1702.04978

Growth of solutions to NLS on irrational tori

Yu Deng·Pierre Germain
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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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Yu Deng, Pierre Germain. 2017-02-16. Growth of solutions to NLS on irrational tori. https://arxiv.org/abs/1702.04978

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