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Long time asymptotics for 2 by 2 hyperbolic systems
Authors:M D'Abbicco
Institution:a Department of Mathematics, University of Bari, Via E. Orabona 4, 70124 Bari, Italy
b Faculty for Mathematics and Computer Science, TU Bergakademie Freiberg, Prüferstr. 9, 09596 Freiberg, Germany
Abstract:The goal of this paper is to study the behavior of the energy for 2 by 2 strictly hyperbolic systems. On the one hand we are interested in generalized energy conservation which excludes blow-up and decay of the energy for t→∞. On the other hand we present scattering results which take account of terms of order zero.
Keywords:35L45  35L40  35B35
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