CRIS Current Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishIn this paper we deal with a 2-evolution Cauchy problem coming from the Euler–Bernoulli model for vibrating beams and plates. The leading coefficient, corresponding to the modulus of elasticity, is time-dependent and may vanish at t=0 . We prove a well-posedness result in the scale of Sobolev spaces using a C1 -approach, in this way we have H∞ well-posedness with an (at most) finite loss of regularity. We take special interest in the space and time-dependence of a complex coefficient of the extended principle part, related to the shear force, and in the assumptions we pose on that coefficient in order to get H∞ well-posedness.
| Titolo: | $H^infty$ well-posedness for a 2-evolution Cauchy problem with complex coefficients |
| Autore/i: | CICOGNANI, MASSIMO; T. Herrmann |
| Autore/i Unibo: | |
| Anno: | 2013 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11868-013-0062-4 |
| Abstract: | In this paper we deal with a 2-evolution Cauchy problem coming from the Euler–Bernoulli model for vibrating beams and plates. The leading coefficient, corresponding to the modulus of elasticity, is time-dependent and may vanish at t=0 . We prove a well-posedness result in the scale of Sobolev spaces using a C1 -approach, in this way we have H∞ well-posedness with an (at most) finite loss of regularity. We take special interest in the space and time-dependence of a complex coefficient of the extended principle part, related to the shear force, and in the assumptions we pose on that coefficient in order to get H∞ well-posedness. |
| Data prodotto definitivo in UGOV: | 2013-05-09 17:58:13 |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11585/134089
Copyright © 2020