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Semilinear wave models with friction and viscoelastic damping
Author(s) -
Kainane Mezadek Mourad,
Kainane Mezadek Mohamed,
Reissig Michael
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6106
Subject(s) - viscoelasticity , mathematics , nonlinear system , cauchy distribution , connection (principal bundle) , range (aeronautics) , mathematical analysis , power (physics) , wave equation , initial value problem , geometry , physics , thermodynamics , materials science , quantum mechanics , composite material
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.