Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks

• Main Author: Pelinovsky, Dmitry (auth)
• Other Authors: Noja, Diego (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: quantum graphs; ground states; open sets converging to metric graphs; norm convergence of operators; NLD; scaling limit; standing waves; bound states; networks; localized nonlinearity; nonlinear Schrödinger equation; metric graphs; convergence of spectra; sine-Gordon equation; NLS; star graph; point interactions; Laplacians; nonrelativistic limit; nonlinear wave equations; quantum graph; soliton; nonlinear shallow water equations; Kre?n formula; breather; non-linear Schrödinger equation; Schrödinger equation; nodal structure
• Online Access: DOAB: download the publication; DOAB: description of the publication

This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connectio...