Links non-uniform energy decay in free damped systems to existence of periodic solutions under periodic forcing, while relating resolvent growth to regularity loss, with illustrations from damped wave equations and a resonance counterexample.
Geometric control in th e presence of a black box
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Periodic solutions for weakly damped systems
Links non-uniform energy decay in free damped systems to existence of periodic solutions under periodic forcing, while relating resolvent growth to regularity loss, with illustrations from damped wave equations and a resonance counterexample.