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