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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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CONSTRUCTION OF A SYMMERTRIZER UNDER (UKL)

CONSTRUCTION OF A SYMMERTRIZER UNDER (UKL)

Chapter:
(p.139) 5 CONSTRUCTION OF A SYMMERTRIZER UNDER (UKL)
Source:
Multi-dimensional hyperbolic partial differential equations
Author(s):

Sylvie Benzoni-Gavage

Denis Serre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199211234.003.0005

This chapter considers constantly hyperbolic operators. It proves the so-called ‘block structure’ due to Kreiss in the strictly hyperbolic case, and to Métivier in the general case. It then constructs in detail the dissipative boundary symmetrizer to pass to variable coefficients. An important issue is to ensure smooth dependence on parameters.

Keywords:   block structure condition, constantly hyperbolic operators, Kreiss, Métivier

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