Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strichartz and uniform Sobolev inequalities for the elastic wave
  equation   We prove dispersive estimate for the elastic wave equation by which we extend
the known Strichartz estimates for the classical wave equation to those for the
elastic wave equation. In particular, the endpoint Strichartz estimates are
deduced. For the purpose we diagonalize the symbols of the Lam\'e operator and
its semigroup, which also gives an alternative and simpler proofs of the
previous results on perturbed elastic wave equations. Furthermore, we obtain
uniform Sobolev inequalities for the elastic wave operator.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph