Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear adjoint restriction estimates for paraboloid   We prove a class of modified paraboloid restriction estimates with a loss of
angular derivatives for the full set of paraboloid restriction conjecture
indices. This result generalizes the paraboloid restriction estimate in radial
case from [Shao, Rev. Mat. Iberoam. 25(2009), 1127-1168], as well as the result
from [Miao et al. Proc. AMS 140(2012), 2091-2102]. As an application, we show a
local smoothing estimate for a solution of the linear Schr\"odinger equation
under the assumption that the initial datum has additional angular regularity.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs