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January  2004, 11(1): 205-220. doi: 10.3934/dcds.2004.11.205

Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems

G. Métivier 1, and  K. Zumbrun 2,

1. 

MAB, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex
2. 

Mathematics Department, Indiana University, Bloomington, IN 47405

Received  December 2002 Revised  November 2003 Published  April 2004

In this paper we prove the continuity of stable subspaces associated to parabolic-hyperbolic boundary value problems, for limiting values of parameters. The analysis is based on the construction performed in [MZ] of Kreiss' type symmetrizers.
Keywords: Lopatinski determinant and Evans functions, Hyperbolic and parabolic boundary value problems, plane wave stability, positive and negative stable subspaces., Kreiss symmetrizers.
Mathematics Subject Classification: 35K50, 35L50, 35L6.
Citation: G. Métivier, K. Zumbrun. Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems. Discrete & Continuous Dynamical Systems, 2004, 11 (1) : 205-220. doi: 10.3934/dcds.2004.11.205
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