Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calder\'on Projector for Fibred Cusp Operators   A Calder\'on projector for an elliptic operator $P$ on a manifold with
boundary $X$ is a projection from general boundary data to the set of boundary
data of solutions $u$ of $Pu=0$. Seeley proved in 1966 that for compact $X$ and
for $P$ uniformly elliptic up to the boundary there is a Calder\'on projector
which is a pseudodifferential operator on $\partial X$. We generalize this
result to the setting of fibred cusp operators, a class of elliptic operators
on certain non-compact manifolds having a special fibred structure at infinity.
This applies, for example, to the Laplacian on certain locally symmetric spaces
or on particular singular spaces, such as a domain with cusp singularity or the
complement of two touching smooth strictly convex domains in Euclidean space.
Our main technical tool is the $\phi$-pseudodifferential calculus introduced by
Mazzeo and Melrose.
  In our presentation we provide a setting that may be useful for doing
analogous constructions for other types of singularities.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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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: cond-mat
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The categories of this paper are: math-ph
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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: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: cs