English

Robin boundary conditions for the Laplacian on metric graph completions

Spectral Theory 2021-12-10 v1 Analysis of PDEs

Abstract

A generalization of Robin boundary conditions leading to self-adjoint operators is developed for the second derivative operator on metric graphs with compact completion and totally disconnected boundary. Harmonic functions and their properties play an essential role.

Keywords

Cite

@article{arxiv.2112.04578,
  title  = {Robin boundary conditions for the Laplacian on metric graph completions},
  author = {Robert Carlson},
  journal= {arXiv preprint arXiv:2112.04578},
  year   = {2021}
}