Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

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

 

 

On the regularity of the Riemann function for hyperbolic equations


Author: William L. Goodhue
Journal: Trans. Amer. Math. Soc. 175 (1973), 483-490
MSC: Primary 35L55
DOI: https://doi.org/10.1090/S0002-9947-1973-0318685-5
MathSciNet review: 0318685
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In an earlier paper, A. Friedman demonstrated that the Riemann function for a strictly hyperbolic system with Gevrey coefficients was locally Gevrey of some higher order except along the bicharacteristics. By representing the Riemann function in terms of a progressing wave expansion, this result is extended beyond caustics.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35L55

Retrieve articles in all journals with MSC: 35L55


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1973-0318685-5
Keywords: Riemann function, strictly hyperbolic systems, progressing wave expansion, Gevrey class
Article copyright: © Copyright 1973 American Mathematical Society