Diffraction from conormal singularities

Details Diffraction from conormal singularities Diffraction from conormal singularities

2012-04-04

arxiv.org/abs/1204.0842v1

Mathematics

Analysis of PDEs

48 pages, no figures

Scientific paper

In this paper we show that for metrics with conormal singularities that
correspond to class C^{1,\alpha} with \alpha>0, the reflected wave is more
regular than the incident wave in a Sobolev sense. This is helpful in the
analysis of the multiple scattering series since higher order terms can be
effectively `peeled off'.

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