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....
| Hlavní autoři: | , , |
|---|---|
| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Hindawi Limited
2005-01-01
|
| Edice: | Journal of Applied Mathematics |
| On-line přístup: | http://dx.doi.org/10.1155/JAM.2005.219 |