The author proves that for initial data in a set S subset of suitable Sobolev spaces, the solutions of the Cauchy-Dirichlet problem for the dissipative Kirchhoff are global in time and decay exponentially. The functions in S do not satisfy any additional regularity assumption, instead they must satisfy a condition relating their energy with the largest lacuna in their Fourier expansion. The larger is the lacuna the larger is the energy allowed.
Spectral gap solutions of the Kirchhoff equation / Panizzi, Stefano. - In: CHINESE ANNALS OF MATHEMATICS SERIES B. - ISSN 0252-9599. - 25 B:(2004), pp. 73-86. [10.1142/S025295990400007X]
Spectral gap solutions of the Kirchhoff equation
PANIZZI, Stefano
2004-01-01
Abstract
The author proves that for initial data in a set S subset of suitable Sobolev spaces, the solutions of the Cauchy-Dirichlet problem for the dissipative Kirchhoff are global in time and decay exponentially. The functions in S do not satisfy any additional regularity assumption, instead they must satisfy a condition relating their energy with the largest lacuna in their Fourier expansion. The larger is the lacuna the larger is the energy allowed.| File | Dimensione | Formato | |
|---|---|---|---|
|
2004Chinese020478.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
7.59 MB
Formato
Adobe PDF
|
7.59 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
