Dirichlet forms for singular diffusion on graphs

Publikationstyp
Journal Article
Date Issued
2011-01-01
Sprache
English
Author(s)
Seifert, Christian  orcid-logo
Voigt, Jürgen  
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/11157
Journal
Operators and matrices  
Volume
5
Issue
4
Start Page
723
End Page
734
Citation
Operators and Matrices 5 (4): 723-734 (2011)
Publisher DOI
10.7153/oam-05-51
Scopus ID
2-s2.0-84884229193
Publisher
Element
Peer Reviewed
true
We describe operators driving the time evolution of singular diffusion on finite graphs whose vertices are allowed to carry masses. The operators are defined by the method of quadratic forms on suitable Hilbert spaces. The model also covers quantum graphs and discrete Laplace operators.
Subjects
C0 -semigroup
Dirichlet form
Gap diffusion
Positive
Quantum graph
Submarkovian
DDC Class
510: Mathematik