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Multi-dimensional hyperbolic partial differential equationsFirst-order systems and applications$
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Sylvie Benzoni-Gavage and Denis Serre

Print publication date: 2006

Print ISBN-13: 9780199211234

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780199211234.001.0001

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A CLASSIFICATION OF LINEAR IBVPs

A CLASSIFICATION OF LINEAR IBVPs

Chapter:
(p.201) 8 A CLASSIFICATION OF LINEAR IBVPs
Source:
Multi-dimensional hyperbolic partial differential equations
Author(s):

Sylvie Benzoni-Gavage

Denis Serre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199211234.003.0008

Besides strongly well-posed (with a uniform K.-L. condition) and strongly ill-posed (where K.-L. fails) IBVPs, there are interesting problems that are only C -well posed, but with a loss of finitely many derivatives in the estimates. This class turns out to persist under small disturbances of the operators.

Keywords:   hyperbolic frequencies, elliptic boundary frequencies, glancing points, weak well-posedness, class WR

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