ar X iv : h ep - t h / 04 09 16 4 v 1 15 S ep 2 00 4 Green ’ s functions and propagation of waves in strongly inhomogeneous media


We show that Green's 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's functions of operators with bounded coefficients. We discuss some consequences of such an anomalous short or long distance behaviour for a diffusion and wave… (More)