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

Kurasov, Pavel; Posilicano, Andrea

doi:10.1090/S0002-9939-05-08063-9

Finite speed of propagation and local boundary conditions for wave equations with point interactions
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by Pavel Kurasov and Andrea Posilicano PDF

Proc. Amer. Math. Soc. 133 (2005), 3071-3078 Request permission

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.

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