On the global solvability of symmetric hyperbolic systems of Kirchhoff type

Renato Manfrin

doi:10.3934/dcds.1997.3.91

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1997, Volume 3, Issue 1: 91-106. Doi: 10.3934/dcds.1997.3.91

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On the global solvability of symmetric hyperbolic systems of Kirchhoff type

Renato Manfrin^1,

1.
Dipartimento di Costruzioni, Istituto Universitario di Architettura, Tolentini, S. Croce 191 - 30135 Venezia

Received: March 31, 1996

Revised: June 30, 1996

Published: December 1996

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Abstract

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.

Mathematics Subject Classification: 35L70.

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