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Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks

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...

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Main Authors: Pelinovsky, Dmitry, Noja, Diego
Format: Online
Sprog:engelsk
Udgivet: MDPI - Multidisciplinary Digital Publishing Institute 2021
Fag:
QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
Online adgang:42712
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