Green functions and propagation of waves in strongly inhomogeneous media
Zbigniew Haba · CERN Document Server (European Organization for Nuclear Research) · 2004
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.