The Sobolev scalar products are defined, and discussed from the point of view of the application to model fitting and smoothing.
Model specification, smoothing, inversion, wave propagation, ray methods.
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Bulant, P., Klimes, L. & Zacek, K.: Sobolev scalar products in the construction of velocity models. Extended Abstracts of 63rd EAGE Conference (Amsterdam), O-24, EAGE, Houten, 2001.