Finite speed of propagation and local boundary conditions for wave equations with point interactions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Pavel Kurasov Andrea Posilicano

Institution:	Department of Mathematics, Lund Institute of Technology, P.O. Box 118, 22100 Lund, Sweden ; Dipartimento di Scienze, Università dell'Insubria, I-22100 Como, Italy

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.

Keywords:	Point interactions singular perturbations locality wave equation

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