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Sharp Strichartz estimates for some variable coefficient Schr{o}dinger operators on $mathbb{R}timesmathbb{T}^2$

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 نشر من قبل Serena Federico
 تاريخ النشر 2021
  مجال البحث
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In the first part of the paper we continue the study of solutions to Schrodinger equations with a time singularity in the dispersive relation and in the periodic setting. In the second we show that if the Schrodinger operator involves a Laplace operator with variable coefficients with a particular dependence on the space variables, then one can prove Strichartz estimates at the same regularity as that needed for constant coefficients. Our work presents a two dimensional analysis, but we expect that with the obvious adjustments similar results are available in higher dimensions.

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