Precise finite speed and uniqueness in the Cauchy problem for symmetrizable hyperbolic systems

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Precise Finite Speed and Uniqueness in the Cauchy Problem for Symmetrizable Hyperbolic Systems

Precise finite speed, in the sense of that the domain of influence is a subset of the union of influence curves through the support of the initial data is proved for hyperbolic systems symmetrized by pseudodifferential operators in the spatial variables. From this, uniqueness in the Cauchy problem at spacelike hypersurfaces is derived by a Hölmgren style duality argument. Sharp finite speed is ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2011

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-2010-05047-0