On the spectrum and scattering for metric graph with fourth order operator

On the spectrum and scattering for metric graph with fourth order operator

The scattering problem for metric graphs with fourth order operator at edges is studied. We consider metric graphs composed of blocks of three types: "attached segment", "cross", "attached loop". These graphs differ in the vertices orders. We investigate the dependence...

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Hauptverfasser: Blinova, Irina V., Van-Yun-Syan, Yana M., Popov, Igor Y.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Apexes
Graphs
Reflectance
Scattering
Wave reflection
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Beschreibung
Zusammenfassung:The scattering problem for metric graphs with fourth order operator at edges is studied. We consider metric graphs composed of blocks of three types: "attached segment", "cross", "attached loop". These graphs differ in the vertices orders. We investigate the dependence of the reflection coefficient on the wave number for different graphs and compare the results.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0026553