Finite speed of propagation and local boundary conditions for wave equations with point interactions
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- by Pavel Kurasov and Andrea Posilicano
- Proc. Amer. Math. Soc. 133 (2005), 3071-3078
- DOI: https://doi.org/10.1090/S0002-9939-05-08063-9
- Published electronically: April 25, 2005
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Abstract:
We show that the boundary conditions entering in the definition of the self-adjoint operator $\Delta ^{A,B}$ describing the Laplacian plus a finite number of point interactions are local if and only if the corresponding wave equation $\ddot \phi =\Delta ^{A,B}\phi$ has finite speed of propagation.References
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Bibliographic Information
- Pavel Kurasov
- Affiliation: Department of Mathematics, Lund Institute of Technology, P.O. Box 118, 22100 Lund, Sweden
- MR Author ID: 265224
- Email: kurasov@maths.lth.se
- Andrea Posilicano
- Affiliation: Dipartimento di Scienze, Università dell’Insubria, I-22100 Como, Italy
- MR Author ID: 253562
- Email: posilicano@uninsubria.it
- Received by editor(s): June 4, 2004
- Published electronically: April 25, 2005
- Communicated by: David S. Tartakoff
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3071-3078
- MSC (2000): Primary 47B25, 81Q10; Secondary 47A55, 47N50, 81Q15
- DOI: https://doi.org/10.1090/S0002-9939-05-08063-9
- MathSciNet review: 2159787