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- W1983669510 abstract "The acoustic propagator is the self-adjoint operator H =−∇· c ( x ) 2 ∇, defined in L 2 ( Q ), where Q ⊆ R 2 is a band of finite width, given by Q ={( x , z ), x ∈ R , 0⩽ z ⩽ Γ }. The wave velocity c depends only on the horizontal coordinate x , and is a measurable bounded function, converging to c ± >0 as x →±∞. It is proved that the resolvent operator R ( z )=( H − z ) −1 , Im z ≠0, can be extended continuously to the closed upper (or lower) half-plane, in a suitable weighted- L 2 topology (“Limiting Absorption Principle”). In particular, this continuity holds at the threshold λ =0. It follows as a corollary that H has no point spectrum." @default.
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- W1983669510 date "1997-05-01" @default.
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- W1983669510 title "On Spectral Properties of the Acoustic Propagator in a Layered Band" @default.
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- W1983669510 doi "https://doi.org/10.1006/jdeq.1996.3236" @default.
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