Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Strichartz estimates for some variable coefficient Schr\"{o}dinger
  operators on $\mathbb{R}\times\mathbb{T}^2$   In the first part of the paper we continue the study of solutions to
Schr\"odinger equations with a time singularity in the dispersive relation and
in the periodic setting. In the second we show that if the Schr\"odinger
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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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys