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

preprint2010arXivOpen access

Abstract

We establish sharp L2L^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 R2R^2 with simple inflection points and normal operators arising in linearized seismic imaging in the presence of fold caustics.

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