Elastic membrane equation in bounded and unbounded domains.

Clark, H.R.

Displaying similar documents to “Elastic membrane equation in bounded and unbounded domains.”

Global classical solutions to the Cauchy problem for a nonlinear wave equation.

Clark, Haroldo R. (1998)

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Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation.

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Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary.

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Global solutions to some nonlinear dissipative mildly degenerate Kirchhoff equations.

Ghisi, Marina (2003)

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Kirchhoff-Carrier elastic strings in noncylindrical domains.

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Asymptotic behavior of solutions to a quasilinear hyperbolic with nonlinear damping.

Aassila, Mohammed (1998)

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Instability of the stationary solutions of generalized dissipative Boussinesq equation

Amin Esfahani (2014)

Applications of Mathematics

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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.