Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^2$ estimates for commutators of the Dirichlet-to-Neumann Map
  associated to elliptic operators with complex-valued bounded measurable
  coefficients on $\mathbb{R}^{n+1}_+$   In this paper we establish commmutator estimates for the Dirichlet-to-Neumann
Map associated to a divergence form elliptic operator in the upper half-space
$\mathbb{R}^{n+1}_+:=\{(x,t)\in \mathbb{R}^n \times (0,\infty)\}$, with
uniformly complex elliptic, $L^{\infty}$, $t$-independent coefficients. By a
standard pull-back mechanism, these results extend corresponding results of
Kenig, Lin and Shen for the Laplacian in a Lipschitz domain, which have
application to the theory of homogenization.

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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin