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Well Posedness and Smooth Dependence for a Semilinear Hyperbolic System with Nonsmooth Data

Please always quote using this URN:urn:nbn:de:0296-matheon-1819
  • We prove the existence, uniqueness, regularity and smooth dependence of the weak solution on the initial data for a certain class of semilinear first order dissipative hyperbolic systems with spacially discontinuous coefficients. Such kind of hyperbolic problems have succesfully been used to describe the dynamics of distributed feedback multisection semiconductor lasers in recent years. We show that in a suitable function space of continuous functions the weak solutions generate a smooth semiflow.

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Metadaten
Author:Mark Lichtner, Mindaugas Radziunas
URN:urn:nbn:de:0296-matheon-1819
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/11/16
Release Date:2004/12/11
Institute:Humboldt-Universität zu Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:174
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