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Reflexions d'oscillations monodimensionnelles
Authors:Junca Stéphane
Affiliation:Laboratoire J. A. Dieudonné, UMR CNRS 6621 Université de Nice-Sophia Antipolis , Parc Valrosc, B.P. 71, Nicc, Cédex 2, F-06108, France
Abstract:We prove the propagation of oscillations with an asymptotic development for an oscillating initial boundary value problem of semilinear hyperbolic systems in the spirit of J.L.Joly, G.Métivier and J.Rauch. In particular we simplify the Joly-métivier-Rauch's proof for the Cauchy problem. Then, we show the new phenomenon of localised oscillations.
Keywords:Viscosity solutions  Heisenberg group  1991 Mathematics Subject Classification  Primary: 35J70  Secondary: 22E25
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