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....
Asıl Yazarlar: | E. Cabanillas Lapa, Z. Huaringa Segura, F. Leon Barboza |
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Materyal Türü: | Makale |
Dil: | English |
Baskı/Yayın Bilgisi: |
Hindawi Limited
2005-01-01
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Seri Bilgileri: | Journal of Applied Mathematics |
Online Erişim: | http://dx.doi.org/10.1155/JAM.2005.219 |
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