Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise gradient estimates in multi-dimensional slow diffusion
  equations with a singular quenching term   We consider a slow diffusion equation with a singular quenching term,
extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner
for the one-dimensional case. Besides the existence of a very weak solution, we
prove some pointwise gradient estimates, mainly when the absorption dominates
over the diffusion. In particular, a new kind of universal gradient estimate is
proved. Several qualitative properties (such as the finite time quenching
phenomena and the finite speed of propagation) and the study of the Cauchy
problem are also considered.

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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: econ