Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantitative Carleman estimate for second order elliptic operators   We prove a Carleman estimate for elliptic second order partial differential
operators with Lipschitz continuous coefficients. The Carleman estimate is
valid for any complex-valued function $u\in W^{2,2}$ with support in a
punctured ball of arbitrary radius. The novelty of this Carleman estimate is
that we establish an explicit dependence on the Lipschitz and ellipticity
constants, the dimension of the space and the radius of the ball. In particular
we provide a uniform and quantitative bound on the weight function for a class
of elliptic operators given explicitly in terms of ellipticity and Lipschitz
constant.

11
The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs