Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counter-examples to the Strichartz estimates for the wave equation in
  domains II   We consider a smooth and bounded domain of dimension d>1 and we construct
solutions to the wave equation with Dirichlet boundary conditions which
contradict the Strichartz estimates of the free space, at least for a subset of
the usual range of indices. This is due to micro-local phenomena such as
caustics generated in arbitrarily small time near the boundary.

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The categories of this paper are: cs
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn