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Exponential Dichotomy for Hyperbolic Systems with Periodic Boundary Conditions

Published 13 Oct 2016 in math.AP | (1610.04058v1)

Abstract: We investigate evolution families generated by general linear first-order hyperbolic systems in one space dimension with periodic boundary conditions. We state explicit conditions on the coefficient functions that are sufficient for the existence of exponential dichotomies on $\R$ in the space of continuous periodic functions.

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