Rafael de la Llave studies dynamical systems. With José Manuel Marco and Roberto Moriyón, he developed regularity results for the Livšic cohomological equation in Anosov diffeomorphisms and Anosov flows.[ref]
Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation by Rafael de la Llave and others (1986). Original publisher byline and subject
The question concerns how the smoothness of the input function controls a transfer function solving the equation. Such results are essential when translating hyperbolic dynamical information into smooth geometric information.
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