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2004 J. Phys. A: Math. Gen. 37 9295-9302 doi: 10.1088/0305-4470/37/39/015
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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 the 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.
PACS numbers: 02.30.Gp, 41.20.Jb, 42.25.Dd, 46.40.Cd
Print publication: Issue 39 (1 October 2004) |
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