Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolvent Estimates for Schr\"{o}dinger Operators with Potentials in
  Lebesgue Spaces   We prove resolvent estimates in the Euclidean setting for Schr\"{o}dinger
operators with potentials in Lebesgue spaces: $-\Delta+V$. The $(L^{2}, L^{p})$
estimates were already obtained by Blair-Sire-Sogge, but we extend their result
to other $(L^{p}, L^{q})$ estimates using their idea and the result and method
of Kwon-Lee on non-uniform resolvent estimates in the Euclidean space.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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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: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess