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

• Richard, Serge

• de, Aldecoa R. Tiedra

抄録

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.

収録刊行物

• Journal of Mathematical Analysis and Applications

  Journal of Mathematical Analysis and Applications 446 (2), 1695-1722, 2017-02

  Elsevier

キーワード

• Thresholds
• Resolvent expansions
• Scattering matrix
• Wave operators

詳細情報

• CRID: 1050001338805697536
• NII論文ID: 120005971271
• HANDLE: 2237/25605
• ISSN: 0022247X
• Web Site: https://nagoya.repo.nii.ac.jp/records/23411
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles