English

Finite speed of propagation and local boundary conditions for wave equations with point interactions

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

We show that the boundary conditions entering in the definition of the self-adjoint operator describing the Laplacian plus a finite number of point interactions are local if and only if the corresponding wave equation has finite speed of propagation

Keywords

Cite

@article{arxiv.math-ph/0602024,
  title  = {Finite speed of propagation and local boundary conditions for wave equations with point interactions},
  author = {Pavel Kurasov and Andrea Posilicano},
  journal= {arXiv preprint arXiv:math-ph/0602024},
  year   = {2007}
}