Andrea Serio


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Arbetar vid Matematiska institutionen
Telefon 08-16 45 95
Besöksadress Kräftriket 5
Rum 115
Postadress Matematik 106 91 Stockholm

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I urval från Stockholms universitets publikationsdatabas
  • 2019. Pavel Kurasov, Andrea Serio. Annales de l'Institute Henri Poincare. Physique theorique 20 (5), 1517-1542

    Schrödinger operators on metric graphs with delta couplings at the vertices are studied. We discuss which potential and which distribution of delta couplings on a given graph maximise the ground state energy, provided the integral of the potential and the sum of strengths of the delta couplings are fixed. It appears that the optimal potential if it exists is a constant function on its support formed by a set of intervals separated from the vertices. In the case where the optimal configuration does not exist explicit optimising sequences are presented.

  • 2018. Pavel Kurasov, Andrea Serio. Reports on mathematical physics 82 (1), 63-80

    We prove that the upper spectral estimate for quantum graphs due to Berkolaiko-Kennedy-Kurasov-Mugnolo [5] is sharp.

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Senast uppdaterad: 12 september 2019

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