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

Kurasov, Pavel LU and Posilicano, A (2005) In Proceedings of the American Mathematical Society 133(10). p.3071-3078
Abstract
We show that the boundary conditions entering in the definition of the self-adjoint operator Delta(A,B) describing the Laplacian plus afinite number of point interactions are local if and only if the corresponding wave equation phi = Delta(A,B)phi has finite speed of propagation.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
singular perturbations, point interactions, wave equation, locality
in
Proceedings of the American Mathematical Society
volume
133
issue
10
pages
3071 - 3078
publisher
American Mathematical Society (AMS)
external identifiers
  • wos:000230718900031
ISSN
1088-6826
language
English
LU publication?
yes
id
fa34210d-37a5-4beb-bd47-5de32a62090f (old id 231932)
alternative location
http://www.ams.org/proc/2005-133-10/S0002-9939-05-08063-9/S0002-9939-05-08063-9.pdf
date added to LUP
2016-04-01 12:01:42
date last changed
2025-04-04 14:19:21
@article{fa34210d-37a5-4beb-bd47-5de32a62090f,
  abstract     = {{We show that the boundary conditions entering in the definition of the self-adjoint operator Delta(A,B) describing the Laplacian plus afinite number of point interactions are local if and only if the corresponding wave equation phi = Delta(A,B)phi has finite speed of propagation.}},
  author       = {{Kurasov, Pavel and Posilicano, A}},
  issn         = {{1088-6826}},
  keywords     = {{singular perturbations; point interactions; wave equation; locality}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{3071--3078}},
  publisher    = {{American Mathematical Society (AMS)}},
  series       = {{Proceedings of the American Mathematical Society}},
  title        = {{Finite speed of propagation and local boundary conditions for wave equations with point interaction s}},
  url          = {{http://www.ams.org/proc/2005-133-10/S0002-9939-05-08063-9/S0002-9939-05-08063-9.pdf}},
  volume       = {{133}},
  year         = {{2005}},
}