Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The method of layer potentials in $L^p$ and endpoint spaces for elliptic
  operators with $L^\infty$ coefficients   We consider layer potentials associated to elliptic operators $Lu=-{\rm
div}(A \nabla u)$ acting in the upper half-space $\mathbb{R}^{n+1}_+$ for
$n\geq 2$, or more generally, in a Lipschitz graph domain, where the
coefficient matrix $A$ is $L^\infty$ and $t$-independent, and solutions of
$Lu=0$ satisfy interior estimates of De Giorgi/Nash/Moser type. A
"Calder\'on-Zygmund" theory is developed for the boundedness of layer
potentials, whereby sharp $L^p$ and endpoint space bounds are deduced from
$L^2$ bounds. Appropriate versions of the classical "jump-relation" formulae
are also derived. The method of layer potentials is then used to establish
well-posedness of boundary value problems for $L$ with data in $L^p$ and
endpoint spaces.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an