On a nonlinear equation of the vibrating string
Angela Iannelli; Giovanni Prouse; Alessandro Veneziani
- Volume: 5, Issue: 3, page 223-228
- ISSN: 1120-6330
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topIannelli, Angela, Prouse, Giovanni, and Veneziani, Alessandro. "On a nonlinear equation of the vibrating string." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 5.3 (1994): 223-228. <http://eudml.org/doc/244113>.
@article{Iannelli1994,
abstract = {A nonlinear model of the vibrating string is studied and global existence and uniqueness theorems for the solution of the Cauchy-Dirichlet problem are given. The model is then compared to the classical D'Alembert model and to a nonlinear model due to Kirchhoff.},
author = {Iannelli, Angela, Prouse, Giovanni, Veneziani, Alessandro},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Vibrating string; Weak solution; Approximate solution; nonlinear vibrating string},
language = {eng},
month = {9},
number = {3},
pages = {223-228},
publisher = {Accademia Nazionale dei Lincei},
title = {On a nonlinear equation of the vibrating string},
url = {http://eudml.org/doc/244113},
volume = {5},
year = {1994},
}
TY - JOUR
AU - Iannelli, Angela
AU - Prouse, Giovanni
AU - Veneziani, Alessandro
TI - On a nonlinear equation of the vibrating string
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1994/9//
PB - Accademia Nazionale dei Lincei
VL - 5
IS - 3
SP - 223
EP - 228
AB - A nonlinear model of the vibrating string is studied and global existence and uniqueness theorems for the solution of the Cauchy-Dirichlet problem are given. The model is then compared to the classical D'Alembert model and to a nonlinear model due to Kirchhoff.
LA - eng
KW - Vibrating string; Weak solution; Approximate solution; nonlinear vibrating string
UR - http://eudml.org/doc/244113
ER -
References
top- AMERIO, L., Analisi matematica con elementi di Analisi Funzionale. Vol. 3, parte 2. UTET, Torino1982. Zbl0585.00001
- PROUSE, G. - ROLANDI, F. - ZARETTI, A., Sulla corda e verga vibranti. Quad. IAC, III, vol. 111, Roma1977. Zbl0425.73061
- IANNELLI, A. - PROUSE, G. - VENEZIANI, A., Analysis of a nonlinear model of the vibrating string. Nonlinear Differential Equations and Applications, to appear. Zbl0844.35067MR1371099DOI10.1007/BF01194221
- SPAGNOLO, S., The Cauchy problem for Kirchhoff equations. Proc. 2nd International conference on Partial differential equations in honour of Luigi Amerio. Rend. Sem. Mat. Fis.Milano1992, 17-52. Zbl0809.35061MR1293773DOI10.1007/BF02925435
- AROSIO, A., Averaged evolution equations. The Kirchhoff string and its treatment in scales of Banach spaces. Proc. 2nd workshop on Functional analysis. World Scientific, Singapore1993, to appear. MR1414220
- FERMI, E. - PASTA, J. - ULAM, S., Studies of nonlinear problems. Am. Math. Soc.Lectures in Appl. Math., vol. 15, New York1974. Zbl0353.70028MR336014
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