Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grisvard's shift theorem near L^infinity and Yudovich theory on
  polygonal domains   Let Omega be a bounded, simply connected domain with boundary of class
C^{1,1} except at finitely many points S_j where the boundary is locally a
corner of aperture alpha_j<=pi/2. Improving on results of Grisvard, we show
that the solution Gf to the Dirichlet problem on Omega with data f in
L^infinity(Omega) and homogeneous boundary conditions has exponentially
integrable second derivatives. The proof uses sharp L^p bounds for singular
integrals on power weighted spaces inspired by the work of Buckley. Our results
allow for the extension of the Yudovich theory of existence, uniqueness and
regularity of weak solutions to the Euler equations on Omega x (0,T) to
polygonal domains Omega as above.

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The categories of this paper are: cond-mat
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The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int