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arXiv · 0903.1780

An FIO calculus for marine seismic imaging, II: Sobolev estimates

Raluca Felea·Allan Greenleaf·Malabika Pramanik
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Abstract

We establish sharp $L^2$-Sobolev estimates for classes of pseudodifferential operators with singular symbols whose non-pseudodifferential (Fourier integral operator) parts exhibit two-sided fold singularities. The operators considered include both singular integral operators along curves in $R^2$ with simple inflection points and normal operators arising in linearized seismic imaging in the presence of fold caustics.

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Raluca Felea, Allan Greenleaf, Malabika Pramanik. 2009-03-10. An FIO calculus for marine seismic imaging, II: Sobolev estimates. https://arxiv.org/abs/0903.1780

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