January  1997, 3(1): 91-106. doi: 10.3934/dcds.1997.3.91

On the global solvability of symmetric hyperbolic systems of Kirchhoff type

1. 

Dipartimento di Costruzioni, Istituto Universitario di Architettura, Tolentini, S. Croce 191 - 30135 Venezia, Italy

Received  April 1996 Revised  July 1996 Published  October 1996

We shall prove here the global solvability for small initial data for symmetric hyperbolic systems with integro-differential coefficients. In this way, we will extend some results obtained in [5], [6], [8], [11] for the classic Kirchhoff equation and in [3] for regularly hyperbolic systems.
Citation: Renato Manfrin. On the global solvability of symmetric hyperbolic systems of Kirchhoff type. Discrete & Continuous Dynamical Systems - A, 1997, 3 (1) : 91-106. doi: 10.3934/dcds.1997.3.91
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