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Global solutions and self-similar solutions of semilinear wave equation
Authors:Francis Ribaud  Abdellah Youssfi
Affiliation:(1) Université de Marne-La-Vallée, Equipe d'Analyse et de Mathématiques Appliquées, 5 bd Descartes, Cité Descartes Champs-sur-Marne, 77454 Marne-La-Vallée Cedex 2, France (e-mail: ribaud@math.univ-mlv.fr , youssfi@math.univ-mlv.fr) , FR
Abstract:We prove existence, uniqueness and regularity results for the global solutions of the semilinear wave equations. In particular, we show existence of regular self-similar solutions. Also, we build some finite-energy asymptotically self-similar solutions. Received: 20 September 1999; in final form: 10 May 2000 / Published online: 25 June 2001
Keywords:
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