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Whispering gallery modes for a transmission problem

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Laboratoire de Mathématiques d'Orsay (LM-Orsay); Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2023
    • نبذة مختصرة :
      We construct a specific family of eigenfunctions for a Laplace operator with coefficients having a jump across an interface. These eigenfunctions have an exponential concentration arbitrarily close to the interface, and therefore could be considered as whispering gallery modes. The proof is based on an appropriate Agmon estimate. We deduce as a corollary that the quantitative unique continuation result for waves propagating in singular media proved by the author in [Fil22] is optimal.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2302.05215; hal-03979691; https://hal.science/hal-03979691; https://hal.science/hal-03979691/document; https://hal.science/hal-03979691/file/main.pdf; ARXIV: 2302.05215
    • الدخول الالكتروني :
      https://hal.science/hal-03979691
      https://hal.science/hal-03979691/document
      https://hal.science/hal-03979691/file/main.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.B21582FA