Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary value problems in Lipschitz domains for equations with lower
  order coefficients   We use the method of layer potentials to study the $R_2$ Regularity problem
and the $D_2$ Dirichlet problem for second order elliptic equations of the form
$\mathcal{L}u=0$, with lower order coefficients, in bounded Lipschitz domains.
For $R_2$ we establish existence and uniqueness assuming that $\mathcal{L}$ is
of the form $\mathcal{L}u=-\text{div}(A\nabla u+bu)+c\nabla u+du$, where the
matrix $A$ is uniformly elliptic and H\"older continuous, $b$ is H\"older
continuous, and $c,d$ belong to Lebesgue classes and they satisfy either the
condition $d\geq\text{div}b$, or $d\geq\text{div}c$ in the sense of
distributions. In particular, $A$ is not assumed to be symmetric, and there is
no smallness assumption on the norms of the lower order coefficients. We also
show existence and uniqueness for $D_2$ for the adjoint equations
$\mathcal{L}^tu=0$.

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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th