Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation of Sectorial Projections of Elliptic Pseudo-differential
  Operators   Over a closed manifold, we consider the sectorial projection of an elliptic
pseudo-differential operator A of positive order with two rays of minimal
growth. We show that it depends continuously on A when the space of
pseudo-differential operators is equipped with a certain topology which we
explicitly describe. Our main application deals with a continuous curve of
arbitrary first order linear elliptic differential operators over a compact
manifold with boundary. Under the additional assumption of the weak inner
unique continuation property, we derive the continuity of a related curve of
Calderon projections and hence of the Cauchy data spaces of the original
operator curve.
  In the Appendix, we describe a topological obstruction against a verbatim use
of R. Seeley's original argument for the complex powers, which was seemingly
overlooked in previous studies of the sectorial projection.

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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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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: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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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: hep-th
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The categories of this paper are: physics
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The categories of this paper are: hep-ph