Adjoint and Self-adjoint Differential Operators on Graphs
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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.
CitationCarlson, R. (1998). Adjoint and self-adjoint differential operators on graphs. Electronic Journal of Differential Equations, 1998(06), pp. 1-10.
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