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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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THE CHARACTERISTIC IBVP

THE CHARACTERISTIC IBVP

Chapter:
(p.158) 6 THE CHARACTERISTIC IBVP
Source:
Multi-dimensional hyperbolic partial differential equations
Author(s):

Sylvie Benzoni-Gavage

Denis Serre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199211234.003.0006

When the boundary is characteristic, maximal estimates must be understood in a restricted sense. The regularity theory is thus difficult, as is the construction of a dissipative symmetrizer. This is carried out under additional though natural assumptions. In particular, the chapter describes higher-order estimates under Ohkubo's assumptions.

Keywords:   characteristic boundary, dissipative symmetrizer, regularity theory, Ohkubo's assumptions

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