Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation of smallness and size estimate in the second order elliptic
  equation with discontinuous complex Lipschitz conductivity   In this paper, we would like to derive three-ball inequalities and
propagation of smallness for the complex second order elliptic equation with
discontinuous Lipschitz coefficients. As an application of such estimates, we
study the size estimate problem by one pair of Cauchy data on the boundary. The
main ingredient in the derivation of three-ball inequalities and propagation of
smallness is a local Carleman proved in our recent paper [FVW].

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom