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The Block Structure Condition for Symmetric Hyperbolic Systems
Author(s) -
Métivier Guy
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007517
Subject(s) - mathematics , multiplicity (mathematics) , block (permutation group theory) , mathematics subject classification , boundary value problem , mathematical analysis , constant (computer programming) , pure mathematics , combinatorics , computer science , programming language
In the analysis of hyperbolic boundary value problems, the construction of Kreiss' symmetrizers relies on a suitable block structure decomposition of the symbol of the system. In this paper, we show that this block structure condition is satisfied by all symmetrizable hyperbolic systems of constant multiplicity. 2000 Mathematics Subject Classification 35L50, 35L67, 35L75.