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Einladung zum Vortrag (Zoom) von Frau Dr. Setenay Akduman am 04.08.2026 - 16:00 Uhr im Rahmen des Forschungsseminars Analysis
[04.08.2026]Im Rahmen des Forschungsseminars Analysis hält am Dienstag, den 4. August 2026, um 16:00 Uhr, Frau Dr. Setenay Akduman (İzmir Democracy University) einen Vortrag zum Thema
Nehari Ground States on Discrete Graphs.
Abstract:
We study standing wave solutions of the nonlinear Schrödinger equation on discrete graphs. After introducing the variational framework, I will discuss geometric conditions on the underlying graph that guarantee the discreteness of the spectrum of the associated Schrödinger operator. These spectral properties allow us to apply the generalized Nehari manifold approach to prove the existence of standing wave solutions in both the self-focusing and defocusing cases. I will also discuss some qualitative properties of the solutions, including integrability, decay behaviour, and bifurcation from the trivial solution.
Der Vortrag findet im Raum H004, EG, Gebäude 3 und im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo) melden.
