On the global solvability of solutions to a quasilinear
wave equation with localized damping and source terms

On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms

We prove existence and uniform stability of strong solutions to a quasilinear wave equation with a locally distributed nonlinear dissipation with source term of power nonlinearity of the type u″−M(∫Ω|∇u|2dx)Δu+a(x)g(u′)+f(u)=0, in Ω×]0,+∞[, u=0, on Γ×]0,+∞[,u(x,0)=u0(x),u′(x,0)=u1(x), in Ω....

書目詳細資料
Main Authors:	E. Cabanillas Lapa, Z. Huaringa Segura, F. Leon Barboza
格式:	Article
語言:	English
出版:	Hindawi Limited 2005-01-01
叢編:	Journal of Applied Mathematics
在線閱讀:	http://dx.doi.org/10.1155/JAM.2005.219

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