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arXiv · 1204.0842

Diffraction from conormal singularities

Maarten de Hoop·Gunther Uhlmann·András Vasy
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Abstract

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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Maarten de Hoop, Gunther Uhlmann, András Vasy. 2012-04-04. Diffraction from conormal singularities. https://arxiv.org/abs/1204.0842

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