On a class of strongly hyperbolic systems |
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| Authors: | Enrico Bernardi Antonio Bove |
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| Institution: | (1) Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, IT-40127 Bologna, Italy;(2) Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, IT-40127 Bologna, Italy;(3) Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Cia Irnerio 46, IT-40126 Bologna, Italy |
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| Abstract: | In this paper we prove a well-posedness result for the Cauchy problem. We study a class of first order hyperbolic differential
2] operators of rank zero on an involutive submanifold ofT
*
R
n+1-{0} and prove that under suitable assumptions on the symmetrizability of the lifting of the principal symbol to a natural
blow up of the “singular part” of the characteristic set, the operator is strongly hyperbolic. |
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| Keywords: | |
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