Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case

Yu Deng

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arXiv · 1702.05617

Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case

Yu Deng

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Abstract

We consider the energy critical nonlinear Schrodinger equation on generic irrational tori. Using the long-time Strichartz estimates proved in [8], we establish polynomial upper bounds for higher Sobolev norms for solutions with small energy.

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Yu Deng. 2017-02-18. Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case. https://arxiv.org/abs/1702.05617

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