Semilinear wave models with friction and viscoelastic damping | Zendy

Kainane Mezadek Mourad | Zendy; Kainane Mezadek Mohamed | Zendy; Reissig Michael | Zendy

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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.

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