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

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

2009-03-10

arxiv.org/abs/0903.1780v2

Mathematics

Analysis of PDEs

39 pages, 2 figures. Additional references, modified text and new Fig. 1

Scientific paper

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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