Abstract
We consider a strongly damped semilinear equation arising in the theory of elastic beams. We prove the existence of an exponentially attracting finite-dimensional vector space in the Hilbert space of the solutions (a so-called inertial manifold), and provide some numerical estimates of the dimension of the manifold.
Lingua originale | English |
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pagine (da-a) | 181-192 |
Numero di pagine | 12 |
Rivista | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS |
Volume | 5 |
DOI | |
Stato di pubblicazione | Pubblicato - 1998 |
Keywords
- Inertial manifolds