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Sem. Dopplerova ústavu: Sergei Nazarov (S. Petersburg) - Threshold resonances in elastic waveguides

19 Jun 2019   16:00

Srdečně vás zveme na červnový seminář Dopplerova ústavu. Tentokrát pozvání přijal Sergei Nazarov (Sankt Petersburg) s přednáškou na téma Threshold resonances in elastic waveguides. Seminář se koná ve středu 19. 6. 2019 od 16.00 hod v místnosti T-112 (budova FJFI Trojanova 13, Praha 2).

Abstract:
It is known that the threshold resonance in a quantum waveguide may lead to the appearance of a near-threshold eigenvalue below the continuous spectrum while an embedded eigenvalue above the threshold can exist only in the case when the threshold implies a true eigenvalue with the eigenfunction in the Sobolev space H1. It will be demonstrated that the effect of the threshold resonace in an elastic waveguide (described by either the Lam´e system, or the Kirchhoff equation) is rather different: it may produce a near-threshold eigenvalue embedded into the continuous spectrum and therefore, situated above the threshold.

Place
Budova FJFI ČVUT v Praze, Trojanova 13, Praha 2
Organizer
FJFI ČVUT v Praze a Dopplerův institut
Contact person
prof. RNDr. Pavel Exner, DrSc., pavel.exner@fjfi.cvut.cz