- journal article metadata
European Mathematical Society Publishing House
2018-04-30 23:30:00
Oberwolfach Reports
Oberwolfach Rep.
OWR
1660-8933
1660-8941
General
10.4171/OWR
http://www.ems-ph.org/doi/10.4171/OWR
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Mathematisches Forschungsinstitut Oberwolfach
14
2017
2
Nonlinear Partial Differential Equations on Graphs
Reika
Fukuizumi
Tohoku University, Sendai, Japan
Jeremy
Marzuola
University of North Carolina at Chapel Hill, USA
Dmitry
Pelinovsky
McMaster University, Hamilton, Canada
Guido
Schneider
Universität Stuttgart, Germany
One-dimensional metric graphs in two and three-dimensional spaces play an important role in emerging areas of modern science such as nano-technology, quantum physics, and biological networks. The workshop focused on the analysis of nonlinear partial differential equations on metric graphs, especially on the bifurcation and stability of nonlinear waves on complex graphs, on the justification of Kirchhoff boundary conditions, on spectral properties and the validity of amplitude equations for periodic graphs, and the existence of ground states for the NLS equation with and without potential.
Partial differential equations
Quantum theory
1805
1868
10.4171/OWR/2017/29
http://www.ems-ph.org/doi/10.4171/OWR/2017/29
4
27
2018