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

E. Cabanillas Lapa, Z. Huaringa Segura and F. Leon Barboza

Journal of Applied Mathematics, 2005, vol. 2005, issue 3, 219-233

Abstract: 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.

Date: 2005
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https://doi.org/10.1155/JAM.2005.219

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2005:y:2005:i:3:p:219-233

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