Adjoint and Self-adjoint Differential Operators on Graphs
Date
1998-02-26
Authors
Carlson, Robert
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph. When the edge lengths have a positive lower bound, all local self-adjoint extensions of the minimal symmetric operator may be classified by boundary conditions at the vertices.
Description
Keywords
Graph, Differential operator, Adjoint, Self-adjoint extension
Citation
Carlson, R. (1998). Adjoint and self-adjoint differential operators on graphs. <i>Electronic Journal of Differential Equations, 1998</i>(06), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.