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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear Schrodinger equations on metric graphs
度量图 非线性 薛定谔方程
2023/5/12
This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
Finite propagation speed for solutions of the wave equation on metric graphs
Metric graphs Laplace operators wave equation finite propagation speed
2011/7/25
Abstract: We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The ...
Brownian Motions on Metric Graphs III - Construction: General Metric Graphs
Brownian motion metric graph Wentzell boundary condition
2011/1/18
Consider a metric graph G with set of vertices V . Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G s...
Brownian Motions on Metric Graphs II - Construction of Brownian Motions on Single Vertex Graphs
Brownian motion Feller Brownian motion metric graphs
2011/1/18
Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of single vertex graphs are given.
Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators
Metric graphs Brownian motion Feller processes Feller’s theorem
2011/1/18
Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller’s theorem for metric graphs.