Journal Article Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition

Richard, Serge  ,  de, Aldecoa R. Tiedra

446 ( 2 )  , pp.1695 - 1722 , 2017-02 , Elsevier
ISSN:0022-247x
Description
For the scattering system given by the Laplacian in a half-space with a periodic boundary condition, we derive resolvent expansions at embedded thresholds, we prove the continuity of the scattering matrix, and we establish new formulas for the wave operators.
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