Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems

Please always quote using this URN: urn:nbn:de:0296-matheon-11952
  • We examine robustness of exponential dichotomies of boundary value problems for general linear first-order one-dimensional hyperbolic systems. The boundary conditions are supposed to be of types ensuring smoothing solutions in finite time, which includes reflection boundary conditions. We show that the dichotomy survives in the space of continuous functions under small perturbations of all coefficients in the differential equations.

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Author:Irina Kmit, Lutz Recke, Viktor Tkachenko
Referee:Alexander Mielke
Date of first Publication:2013/02/08
Institute:Humboldt-Universit├Ąt zu Berlin
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Fxx General first-order equations and systems / 35F15 Boundary value problems for linear first-order equations
Preprint Number:998