- 00-48 Rafael de la Llave
- Remarks on Sobolev regularity in Anosov systems
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Feb 1, 00
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Abstract. We consider the problem of expressing the regularity
of different objects which appear in Anosov systems
in terms of Sobolev spaces.
We show in examples that one cannot expect any
improvements in the regularity of
Anosov splitting from the classical
results that give regularity in
$W^{r_0,\infty}$.
We also develop a Sobolev regularity theory
for solutions of cohomology equations,
both commutative and non-commutative,
and bootstrap of regularity arguments from
Sobolev to other classes for a wide variety of
functional equations involving Anosov systems.
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