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Finite speed of propagation and local boundary conditions for wave equations with point interactions
Author(s):
Pavel
Kurasov;
Andrea
Posilicano
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3071-3078.
MSC (2000):
Primary 47B25, 81Q10;
Secondary 47A55, 47N50, 81Q15
Posted:
April 25, 2005
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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.
References:
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Additional Information:
Pavel
Kurasov
Affiliation:
Department of Mathematics, Lund Institute of Technology, P.O. Box 118, 22100 Lund, Sweden
Email:
kurasov@maths.lth.se
Andrea
Posilicano
Affiliation:
Dipartimento di Scienze, Università dell'Insubria, I-22100 Como, Italy
Email:
posilicano@uninsubria.it
DOI:
10.1090/S0002-9939-05-08063-9
PII:
S 0002-9939(05)08063-9
Keywords:
Point interactions,
singular perturbations,
locality,
wave equation
Received by editor(s):
June 4, 2004
Posted:
April 25, 2005
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2005,
American Mathematical Society
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