Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conic manifolds under the Yamabe flow   We consider the unnormalized Yamabe flow on manifolds with conical
singularities. Under certain geometric assumption on the initial cross-section
we show well posedness of the short time solution in the $L^q$-setting.
Moreover, we give a picture of the deformation of the conical tips under the
flow by providing an asymptotic expansion of the evolving metric close to the
boundary in terms of the initial local geometry. Due to the blow up of the
scalar curvature close to the singularities we use maximal $L^q$-regularity
theory for conically degenerate operators.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol