Z Haba 2004 J. Phys. A: Math. Gen. 37 9295 doi:10.1088/0305-4470/37/39/015
Z Haba
Show affiliationsWe 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.
41.20.Jb Electromagnetic wave propagation; radiowave propagation
32Wxx Differential operators in several variables
58J05 Elliptic equations on manifolds, general theory (See also 35-XX)
Issue 39 (1 October 2004)
Received 13 May 2004, in final form 17 August 2004
Published 15 September 2004
Z Haba 2004 J. Phys. A: Math. Gen. 37 9295
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