Maximal-quasi-accretive Laplacians on finite metric graphs

Abstract

For a finite not necessarily compact metric graph, one considers the differential expression $-\frac{d^2}{d{x}^2}$ on each edge. The boundary conditions at the vertices of the graph yielding quasi-m-accretive as well as m-accretive operators are completely characterized.

19 pages

References in corpus (2)

• Brownian Motions on Metric Graphs
• Bounds on the negative eigenvalues of Laplacians on finite metric graphs

Cited by in corpus (5)

• Non-self-adjoint graphs
• Spectral enclosures for non-self-adjoint extensions of symmetric operators
• Spectrum of a non-selfadjoint quantum star graph
• Laplacians with point interactions -- expected and unexpected spectral properties
• Hidden symmetries in non-self-adjoint graphs