, use the fact that the operators R(r) are uniformly bounded and U (t, s) is exponentially bounded

, Now we conclude either by Theorem 5.3.3 or Corollary 5.4.3 that, as soon as R(t) ? R(s) are small enough, we have exact observability of the system, We have admissibility of C and the averaged Hautus test (5.5.3)

, Let ? be a bounded domain of R d with a C 2-boundary ?. Let ? 0 be an open subset of ? and Y = L 2 (? 0 )

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