Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The uniqueness of the solution of the Schrodinger equation with
  discontinuous coefficients   Consider the Schroeodinger equation: - Du(x) - l(x)u + s(x)u = 0, where D is
the Laplacian, l(x) > 0 and s(x) is dominated by l(x). We shall extend the
celebrated Kato's result on the asymptotic behavior of the solution to the case
where l(x) has unbounded discontinuity. The result will be used to establish
the limiting absorption principle for a class of reduced wave operators with
discontinuous coefficients.

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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: eess
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex