Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension

Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension

We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n≥3. Also the application of the obtained results to the classical Brownian exit times problem in these domains is given.

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Veröffentlicht in:Journal of functional analysis 2021-08, Vol.281 (4), p.109071, Article 109071
Hauptverfasser: Bakharev, F.L., Nazarov, A.I.
Format: Artikel
Sprache:eng
Schlagworte:
Bound states
Brownian exit time
Dirichlet layers
Discrete spectrum
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Beschreibung
Zusammenfassung:We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n≥3. Also the application of the obtained results to the classical Brownian exit times problem in these domains is given.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2021.109071