Finite speed of propagation and local boundary conditions for wave equations with point interaction s
(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:
https://lup.lub.lu.se/record/231932
- author
- Kurasov, Pavel LU and Posilicano, A
- organization
- publishing date
- 2005
- 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
- 2018-11-21 20:02:59
@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}}, }