On convexity for energy decay rates of a viscoelastic wave equation with a dynamic boundary and nonlinear delay term

Facta Universitatis. Series Mathematics and Informatics

HAKEM Ali¹  FERHAT Mohamed² 

[1] Faculté de technologie, département ST, université Djillali Liabès. 22000 Sidi Bel Abbes. ALGERIE.;Univerity of USTO. 31000 ORAN. ALGERIE.

关键词: Global existence;    Energy decay;    Source term;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this work, we investigate the initial boundary value problem for a system of viscoelastic wave equations in a bounded domain with dynamic boundary conditions related to the Kelvin Voigt damping and nonlinear delay term acting on the boundary. At first, the global existence of solutions is discussed using the potential well method and introducing suitable energy and Lyapunov functionals to establish general decay estimates.

【 授权许可】

Unknown