Dirichlet forms for singular diffusion on graphs

Publikationstyp
Journal Article
Publikationsdatum
2011-01-01
Sprache
English
Author
Seifert, Christian orcid-logo
Voigt, Jürgen 
Institut
Mathematik E-10 
TORE-URI
http://hdl.handle.net/11420/11157
Enthalten in
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.
Schlagworte
C0 -semigroup
Dirichlet form
Gap diffusion
Positive
Quantum graph
Submarkovian
DDC Class
510: Mathematik