Talk by Lorenzo Tentarelli
On May 3rd, 2023, Lorenzo Tentarelli (Politecnico di Torino, Italy) gave a talk about "On the nonlinear Dirac equation on metric graphs" as part of the online workshop on "Dirac equation between discrete and continuous: new trends and applications" organized by Ginestra Bianconi (Queen Mary University of London) and Delio Mugnolo (FernUniversität in Hagen). This lecture is partially supported by the COST action Mathematical models for interacting dynamics on networks.
Abstract
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The talk will discuss the available results on the nonlinear Dirac equation on noncompact metric graphs with finitely many edges. Precisely, we will focus on the case of Kerr-type nonlinearities and Kirchhoff-type vertex conditions. We also mention some possible future developments. The presented results are in collaboration with W. Borrelli and R. Carlone.
