|
|||||
|
|
Dirichlet forms for singular one-dimensional operators and on graphs |
|
| Authors: | Ulrike Kant Tobias Klauss Jürgen Voigt Matthias Weber |
| Institution: | 1. Fachbereich Mathematik, Universit?t Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany 2. Neureuther Stra?e, 80799, Munich, Germany 3. Fachrichtung Mathematik, Technische Universit?t Dresden, 01062, Dresden, Germany 4. Hochschule für Technik und Wirtschaft Dresden, Fachbereich Informatik/Mathematik, PF 120701, 01008, Dresden, Germany |
| Abstract: | We treat the time evolution of states on a finite directed graph, with singular diffusion on the edges of the graph and glueing conditions at the vertices. The operator driving the evolution is obtained by the method of quadratic forms on a suitable Hilbert space. Using the Beurling–Deny criteria we describe glueing conditions leading to positive and to submarkovian semigroups, respectively. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |