Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform asymptotic formulae for Green's kernels in regularly and
  singularly perturbed domains   Asymptotic formulae for Green's kernels $G_\epsilon({\bf x}, {\bf y})$ of
various boundary value problems for the Laplace operator are obtained in
regularly perturbed domains and certain domains with small singular
perturbations of the boundary, as $\epsilon \to 0$. The main new feature of
these asymptotic formulae is their uniformity with respect to the independent
variables ${\bf x}$ and ${\bf y}$.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex