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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Scattering theory for hyperbolic systems with coefficients of Gevrey type


Author: William L. Goodhue
Journal: Trans. Amer. Math. Soc. 180 (1973), 337-346
MSC: Primary 35P25
MathSciNet review: 0415094
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Abstract: Using the techniques developed by P. D. Lax and R. S. Phillips, qualitative results on the location of the poles of the scattering matrix for symmetric, hyperbolic systems are obtained. The restrictions placed on the system are that the coefficient matrices be of Gevrey type and that the bicharacteristic rays tend to infinity.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0415094-5
Keywords: Scattering matrix poles, hyperbolic systems, spectrum of infinitesimal generator
Article copyright: © Copyright 1973 American Mathematical Society