Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Klein-Gordon equation on the toric adS-Schwarzschild black hole   We consider the Klein-Gordon equation on the exterior of the toric anti
de-Sitter Schwarzschild black hole with Dirichlet, Neumann and Robin boundary
conditions at $\mathcal{I}$. We define a non-degenerate energy for the equation
which controls the renormalised $H^1$ norm of the field. We then establish both
decay and integrated decay of this energy through vector field methods. Finally
we demonstrate the necessity of `losing a derivative' in the integrated energy
estimate through the construction of a Gaussian beam staying in the exterior of
the event horizon for arbitrary long co-ordinate time.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci