Controllability of analytic functions for a wave equation coupled with a beam

Autores: Sorin Micu, Brice Allibert
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 15, Nº 3, 1999, págs. 547-592
Idioma: inglés
DOI: 10.4171/rmi/265
Títulos paralelos:
- Controlabilidad de funciones analíticas para una ecuación de onda acoplada con un haz.
Enlaces
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Resumen
- We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity of the latter function.