Decay of solutions of a degenerate hyperbolic equation.

Dix, Julio G.

Displaying similar documents to “Decay of solutions of a degenerate hyperbolic equation.”

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Doronin, G.G., Lar&#039;kin, N.A., Souza, A.J. (1998)

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Global attractor and finite dimensionally for a class of dissipative equations of BBM's type.

Astaburuaga, M.A., Bisognin, E., Bisognin, V., Fernandez, C. (1998)

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Patrick Martinez (1999)

ESAIM: Control, Optimisation and Calculus of Variations

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Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.

Cavalcanti, Marcelo M., Domingos Cavalcanti, Valéria N., Soriano, Juan A. (2002)

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Exponentially slow traveling waves on a finite interval for Burger's type equation.

de Groen, P.P.N., Karadzhov, G.E. (1998)

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Solutions to a nonlinear drift-diffusion model for semiconductors.

Fang, Weifu, Ito, Kazufumi (1999)

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Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type

Barbara Szomolay (2003)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction $\ddot{u} = - γ \dot{u} + {m (∥ \nabla u ∥}^{2} {) Δ u - δ | u |}^{α} u + f,$ which is known as degenerate if $m (\cdot) \geq 0$ , and non-degenerate if $m (\cdot) \geq m_{0} > 0$ . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of $α$ . Our aim is to extend the validity of previous results in [5] to $α \geq 0$ both to the degenerate and non-degenerate cases of $m$ . We extend our results to...

Exponential decay of solutions to a fourth-order viscoelastic evolution equation in $ℝ^{n}$ .

Kafini, Mohammad (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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