Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat-type equations on manifolds with fibered boundary I: Schauder
  estimates   In this paper we prove parabolic Schauder estimates for the Laplace-Beltrami
operator on a manifold $M$ with fibered boundary and a $\Phi$-metric $g_\Phi$.
This setting generalizes the asymptotically conical (scattering) spaces and
includes special cases of magnetic and gravitational monopoles. This paper,
combined with part II, lay the crucial groundwork for forthcoming discussions
on geometric flows in this setting; especially the Yamabe- and mean curvature
flow.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph