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Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori

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 نشر من قبل Pierre Germain
 تاريخ النشر 2018
  مجال البحث
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We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. We proceed to partially prove it in dimension 2. Our arguments involve on the one hand Weyl bounds; and on the other hands bounds on the number of solutions of Diophantine problems.



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