Green functions and propagation of waves in strongly inhomogeneous media

Details Green functions and propagation of waves in strongly inhomogeneous media Green functions and propagation of waves in strongly inhomogeneous media

2004-09-15

arxiv.org/abs/hep-th/0409164v1

J.Phys.A37:9295,2004

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0305-4470/37/39/015

We show that Green functions of second-order differential operators with singular or unbounded coefficients can have an anomalous behaviour in comparison to the well-known properties of Green functions of operators with bounded coefficients. We discuss some consequences of such an anomalous short or long distance behaviour for a diffusion and wave propagation in an inhomogeneous medium.

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