Spectral mapping theorem for linear hyperbolic systems

DOI10.1090/S0002-9939-08-09181-8zbMath1148.47029MaRDI QIDQ3506745

Mark Lichtner

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsexponential dichotomy\(C_0\) semigroupslinear hyperbolic systemsspectral mapping theoremestimates for spectrum and resolvent

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Invariant manifold theory for dynamical systems (37D10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

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