- 99-298 P. Collet, J.-P. Eckmann
- Topological Entropy and epsilon-Entropy
for Damped Hyperbolic Equations
(361K, pstscript)
Aug 16, 99
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Abstract. We study damped hyperbolic equations on the
infinite line. We show that on the global attracting set G the
epsilon-entropy (per unit length) exists in the topology of
$W^{1,\infty}$. We also show that the topological entropy per unit
length of G exists.
These results are shown using two main techniques: Bounds in bounded
domains in position space and for large momenta,
and a novel submultiplicativity
argument in $W^{1,\infty}$.
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