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A Remark on the Convergence of Global and Bounded Solutions for a Semilinear Wave Equation on ∝N

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Abstract

We give a new and easier proof for the result of Feireisl [Fe1] concerning the convergence of global and bounded solutions of the wave equation with small initial energy. We also prove that the convergence takes place with an exponential decay.

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  1. Laboratoire de Mathématiques appliqués, Bât. Fermat, Université de Versailles Saint-Quentin, 45 avenue des États Unis, 78035, Versailles cedex, France

    Mohamed Ali Jendoubi

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  1. Mohamed Ali Jendoubi
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Jendoubi, M.A. A Remark on the Convergence of Global and Bounded Solutions for a Semilinear Wave Equation on ∝N . Journal of Dynamics and Differential Equations 14, 589–596 (2002). https://doi.org/10.1023/A:1016387132140

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