Decay of solutions to a non-degenerate Schrödinger equation with a dynamic boundary of fractional integral type

• Hallouz Abd Elhamid ^[1]
  1. [1] Université IBN Khaldoun Tiaret

     Université IBN Khaldoun Tiaret

     Argelia

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol 83, Nº. 1, 2026, págs. 177-197
• Idioma: inglés
• DOI: 10.1007/s40324-025-00380-0
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper aims to investigate a non-degenerate Schrödinger equation with fractional integral type dynamic boundary control. We focus on establishing the well-posedness of the system by employing semigroup theory. Additionally, we apply the Borichev-Tomilov (Math. Ann. 301 347(2):455–478, 2010) theorem to demonstrate the existence of polynomial decay, which occurs in the absence of exponential stability.