General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions

In this paper, we consider a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions in domains with non‐locally reacting boundary. By potential well method, we get the global existence of solution and through several important lemmas,...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2024-08, Vol.47 (12), p.9897-9917
Hauptverfasser:	Hao, Jianghao, Zhang, Tong
Format:	Artikel
Sprache:	eng
Schlagworte:	acoustic boundary conditions Boundary conditions Decay logarithmic source term Logarithms semilinear wave equation variable coefficients Viscoelasticity Wave equations
Online-Zugang:	Volltext
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