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Semilinear wave models with friction and viscoelastic damping |
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| Authors: | Mourad Kainane Mezadek Mohamed Kainane Mezadek Michael Reissig |
| Institution: | 1. Département de Mathématiques, Faculté des Sciences Exactes et Appliquées, Universitié Oran1, Laboratoire de Recherche de Géometrie et d'Analyse (GEANLAB), B.P.1524, El M'Naouer, 31000, Oran, Algerie;2. Faculté de Sciences Exactes et Informatique, Universitié Hassiba Benbouali de Chlef, Ouled Fares B.P.78, 02180, Chlef, Algerie
Laboratoire de Mathematiques et Applications (LMA), Universitié Hassiba Benbouali de Chlef, Hay Essalem B.P. 151, 02000, Chlef, Algerie;3. Institute of Applied Analysis, Faculty for Mathematics and Computer Science, Technical University Bergakademie Freiberg, Prüferstraße 9, 09596,, Freiberg, Germany |
| Abstract: | In this paper, we study the global (in time) existence of small data solutions to the Cauchy problem for the semilinear wave equation with friction, viscoelastic damping, and a power nonlinearity. We are interested in the connection between regularity assumptions for the data and the admissible range of exponents p in the power nonlinearity. |
| Keywords: | fractional chain rule global in time existence higher regularity of data power nonlinearity small data solutions viscoelastic damping |