Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite-energy solutions to energy-critical nonlinear Schr\"odinger
  equations in modulation spaces   We prove new well-posedness results for energy-critical nonlinear
Schr\"odinger equations in modulation spaces, which are larger than the energy
space. First, we remove the $\varepsilon$-derivative loss in $L^p$-smoothing
estimates for the linear Schr\"o\-din\-ger equation, if $p$ is larger than the
Tomas-Stein exponent. Next, we show local well-posedness results for nonlinear
Schr\"odinger equations in modulation spaces containing the scaling critical
$L^2$-based Sobolev space. The proof is carried out via bilinear refinements
and adapted function spaces.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex