Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Trace Theorem for domains which are locally subgraph of a
  Holder continuous function   The purpose of this note is to prove a version of the Trace Theorem for
domains which are locally subgraph of a H\" older continuous function. More
precisely, let $\eta\in C^{0,\alpha}(\omega)$, $0<\alpha<1$ and let
$\Omega_{\eta}$ be a domain which is locally subgraph of a function $\eta$. We
prove that mapping $\gamma_{\eta}:u\mapsto u({\bf x},\eta({\bf x}))$ can be
extended by continuity to a linear, continuous mapping from
$H^1(\Omega_{\eta})$ to $H^s(\omega)$, $s<\alpha/2$. This study is motivated by
analysis of fluid-structure interaction problems.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc