Symmetrizers and Continuity of Stable Subspaces for Parabolic-Hyperbolic Boundary Value Problems

2003/01/08 by Guy Métivier, Guy Metivier, Metivier, Guy +2
Computer Science · Mathematics · #35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #math.AP #msc:35

paper · pdf · doi:10.48550/arxiv.math/0301063

22 pages

arxiv created 2003/01/08 · openalex publication_date 2003/01/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 a previous paper of Kreiss' type symmetrizers.

Related

• Stability for semilinear parabolic problems in L₂, W^1,2, and interpolation spaces
• Parabolic boundary-value problems and generalized Sobolev spaces
• Symmetrization and anti-symmetrization in parabolic equations
• General parabolic initial-boundary value problems in Hörmander spaces
• Stability of parabolic equations in non-cylindrical domains