Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L^$\infty$ estimates for the jko scheme in parabolic-elliptic
  keller-segel systems   We prove L^$\infty$ estimates on the densities that are obtained via the JKO
scheme for a general form of a parabolic-elliptic Keller-Segel type system,
with arbitrary diffusion, arbitrary mass, and in arbitrary dimension. Of
course, such an estimate blows up in finite time, a time proportional to the
inverse of the initial L^$\infty$ norm. This estimate can be used to prove
short-time well-posedness for a number of equations of this form regardless of
the mass of the initial data. The time of existence of the constructed
solutions coincides with the maximal time of existence of Lagrangian solutions
without the diffusive term by characteristic methods.

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The categories of this paper are: ao-sci
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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: cmp-lg
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an