Minimax Theory and its Applications 04 (2019), No. 1, 205--215
Copyright Heldermann Verlag 2019
A Quick Survey on Recent Results for the NLS Equation on Metric Graphs
Simone Secchi
Dip. di Matematica e Applicazioni, Università di Milano Bicocca, Via Roberto Cozzi 55, 20125 Milano, Italy
simone.secchi@unimib.it
We survey some recent results about the Nonlinear Schrödinger Equation on a metric graph, obtained in collaboration with D. Noja and S. Rolando. We also provide some general information about some analytic tools that are useful to set a convenient environment.
Keywords: Quantum graphs, nonlinear Schroedinger equation, standing waves.
MSC: 35Q55, 81Q35, 35R02.
[ Fulltext-pdf (116 KB)] for subscribers only.