Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mourre's method for a dissipative form perturbation   We prove uniform resolvent estimates for an abstract operator given by a
dissipative perturbation of a self-adjoint operator in the sense of forms. For
this we adapt the commutators method of Mourre. We also obtain the limiting
absorption principle and uniform estimates for the derivatives of the
resolvent. This abstract work is motivated by the Schr{\"o}dinger and wave
equations on a wave guide with dissipation at the boundary.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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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: patt-sol