Boundary conditions for the Cauchy potential for two-dimensional hyperbolic equations

2017

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DOI 10.1063/1.5000618
Data confidence 70 medium
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Abstract

In this paper we consider the question of the boundary conditions of the volume potential for a two-dimensional linear hyperbolic operator. These boundary conditions describe the long-known in theoretical physics effect of “transparent boundary conditions”, skipping the outgoing waves and reflecting the incoming waves.