Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Control of waves on Lorentzian manifolds with curvature bounds   We prove boundary controllability results for wave equations (with
lower-order terms) on Lorentzian manifolds with time-dependent geometry
satisfying suitable curvature bounds. The main ingredient is a novel global
Carleman estimate on Lorentzian manifolds that is supported in the exterior of
a null (or characteristic) cone, which leads to both an observability
inequality and bounds for the corresponding constant. The Carleman estimate
also yields a unique continuation result on the null cone exterior, which has
applications toward inverse problems for linear waves on Lorentzian
backgrounds.

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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys