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Green functions and propagation of waves in strongly inhomogeneous media

Z. Haba
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Abstract

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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Z. Haba. 2004-09-15. Green functions and propagation of waves in strongly inhomogeneous media. https://doi.org/10.1088/0305-4470%2F37%2F39%2F015

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