Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From reflections to elliptic growth   We use reflections involving analytic Dirichlet and Neumann data on a
real-analytic curve in order to find a representation of solutions to Cauchy
problems for harmonic functions in the plane. We apply this representation for
finding solutions to Hele-Shaw problems. We also generalize the results by
deriving the corresponding formulae for Helmholtz equation and applying them to
elliptic growth.

33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex