Scattering on periodic metric graphs
Sign Up to like & getrecommendations! Published in 2020 at "Reviews in Mathematical Physics"
DOI: 10.1142/s0129055x20500245
Abstract: We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and eigenvalues of the fiber metric Laplacian are expressed… read more here.
Keywords: periodic metric; scattering periodic; metric graphs;
Nonlinear Schrödinger Equations on Periodic Metric Graphs
Sign Up to like & getrecommendations! Published in 2017 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2018030
Abstract: The paper is devoted to the nonlinear Schrodinger equation with periodic linear and nonlinear potentials on periodic metric graphs. Assuming that the spectrum of linear part does not contain zero, we prove the existence of… read more here.
Keywords: nonlinear schr; dinger equations; metric graphs; periodic metric ... See more keywords