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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
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